KUNCI JAWABAN MTK Kelas 8 Ayo Kita Berlatih 6.1 Halaman 11 12 13 Semester 2

Kunci jawaban buku siswa kelas 8 smp mts semester 2  Ayo Kita Berlatih 6.1  Halaman 11 12 13 Semester 2 bab 6 semester 2 kurikulum 2013 edisi revisi 2017 soal dan jawaban buku mtk kelas 2 smp mts semester 1 dan semester 2 

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KUNCI JAWABAN MTK  Kelas 8 Ayo Kita Berlatih 6.1  Halaman 11 12 13 Semester 2

JAWABAN Matematika Ayo Kita Berlatih 6.1 bab 6 Halaman 11 12 13 Semester 2

1. Gunakan teorema Pythagoras untuk menentukan nilai yang belum diketahui pada masing-masing gambar berikut.

1. Gunakan teorema Pythagoras untuk menentukan nilai yang belum diketahui pada masing-masing gambar berikut.

KUNCI JAWABAN
Mari kita lihat soal tersebut.
a. Diketahui a = 12 cm dan b = 15 cm, sehingga
a² + b² = c²
⇔ 12² + 15² = c²
⇔ 144 + 225 = c²
⇔ c² = 369
⇔ c = √(9 x 41)
⇔ c = 3√41
b. Diketahui nilai a = 5 cm dan c = 13 cm, sehingga
a² + b² = c²
⇔ 5² + x² = 13²
⇔ 25 + x² = 169
⇔ x² = 169 – 25
⇔ x² = 144
⇔ x = 12
c. Diketahui nilai b = 5,6 inchi dan c = 10,6 inchi, sehingga
a² + b² = c²
⇔ a² + 5,6² = 10,6²
⇔ a² + 31,36 = 112,36
⇔ a² = 112,36 – 31,36
⇔ a² = 81
⇔ a = 9
d. Diketahui b = 9,6 m dan c = 10,4 m.
a² + b² = c²
⇔ a² + 9,6² = 10,4²
⇔ a² + 92,16 = 108,16
⇔ a² = 108,16 – 92,16
⇔ a² = 16
⇔ a = 4
e. Diketahui b = 6 m dan c = 8 m, sehingga
a² + b² = c²
⇔ a² + 6² = 8²
⇔ x² + 36 = 64
⇔ x² = 64 – 36
⇔ x² = 28
⇔ x = √(4 x 7)
⇔ x = 2√7
f. Diketahui a = 9,6 kaki dan b = 7,2 kaki, sehingga
a² + b² = c²
⇔ 9,6² + 7,2² = c²
⇔ 92,16 + 51,84 = c²
⇔ c² = 144
⇔ c = 12

2. Tujuan dipasangkan kawat bubut pada suatu tiang telepon adalah untuk menopangnya. Kawat bubut dipasang pada tiang telepon setinggi 8 meter dari tanah

2. Tujuan dipasangkan kawat bubut pada suatu tiang telepon adalah untuk menopangnya. Kawat bubut dipasang pada tiang telepon setinggi 8 meter dari tanah

KUNCI JAWABAN
a) Caranya dengan mengukur jarak antara kawat dengan tiang lalu, Dengan menggunakan rumus Teorema Pythagoras kita dapat mencari panjang kawat bubut,
b) kawat = √(jarak2 + tinggi2)
= √(62 + 82)
= √(36 + 64)
= √100
= 10 m
Jadi, panjang kawat bubut tersebut adalah 10 meter.

3. Tentukan nilai x pada kedua gambar berikut.

3. Tentukan nilai x pada kedua gambar berikut.

KUNCI JAWABAN
Bangun I )
x = √(Sisi miring2 – Sisi tegak2)
= √(202 – 122)
= √(400 – 144)
= √256
= 16 cm
Jadi, panjang x adalah 16 cm.
Bangun II )
Cari nilai y terlebih dahulu,
y = √(132 – 52)
= √(169 – 25)
= √144
= 12 mm
x = √(y2 + 352)
= √(122 + 352)
= √(144 + 1225)
= √1369
= 37 mm
Jadi, panjang x adalah 37 mm

4. Apakah suatu segitiga yang panjang ketiga sisinya berturut-turut 9 cm,12 cm, dan 18 cm merupakan segitiga siku-siku? Jelaskan.

KUNCI JAWABAN
Kita dapat menggunakan Teorema Pythagoras, dengan rumus :
sisi paling panjang kuadrat = sisi 1 lainnya kuadrat + sisi 2 lainnya kuadrat
182 = 92 + 122
324 = 81 + 144
324 = 225 (salah)
Jadi, jawabannya adalah salah karena tidak memenuhi kriteria Teorema Pythagoras

5. Jika panjang sisi-sisi suatu segitiga siku-siku berturut-turut adalah x,
15, dan x + 5, tentukan nilai x.

KUNCI JAWABAN
Dengan menggunakan pythagoras maka,
x² + 15² = (x + 5)²
x² + 225 = x² + 10x + 25
x² – x² – 10x = 25 – 225
-10x = -200
x = -200 / -10
x = 20
Jadi, nilai x adalah 20.

6. Tentukan panjang AB dari gambar berikut.

6. Tentukan panjang AB dari gambar berikut.

KUNCI JAWABAN
a)
AB = √(CD² + (AD – BC)²)
= √(4² + (4 – 3)²)
= √(16 + 1)
= √17 cm
Jadi, panjang AB adalah √17 cm.
b)
BD = √(BC² + CD²)
= √(7² + 4² BD²)
= √(49 + 16)
= √65
AB² = √(BD² – AD²)
= √((√65)² – 6²)
= √(65 – 36)
= √29 cm
Jadi, panjang AB adalah √29 cm.
c)
AB = √(AO² + BO²)
= √(4² + 5²)
= √(16 + 25)
= √41 cm
Jadi, panjang AB adalah √41 cm.

7. Diketahui persegi panjang ABCD dan P merupakan titik di dalam persegi
panjang. Jika PC = 8 cm, PD = 4 cm, dan PB = 7 cm, maka PA adalah ….

7. Diketahui persegi panjang ABCD dan P merupakan titik di dalam persegi panjang. Jika PC = 8 cm, PD = 4 cm, dan PB = 7 cm, maka PA adalah ....

 KUNCI JAWABAN
*Perhatikan ilustrasi gambar diatas*
PA = √(PD² + PB² – PC²)
= √(4² + 7² – 8²)
= √(16 + 49 – 64)
= √(65 – 64)
= √1
= 1 cm
Jadi, panjang PA adalah 1 cm.

8. Seorang yang bernama Bhaskara menyusun sebuah persegi dan empat
buah segitiga siku-siku yang memiliki panjang sisi yang sama yaitu a,
b dan c kedalam sebuah persegi yang mempunyai panjang sisi c.

KUNCI JAWABAN
a) Kelima potongan bangun datar tersebut akan membentuk bangun yang paling kanan seperti pada gambar dibawah ini.
8. Seorang yang bernama Bhaskara menyusun sebuah persegi dan empat buah segitiga siku-siku yang memiliki panjang sisi yang sama yaitu a, b dan c kedalam sebuah persegi yang mempunyai panjang sisi c.

b)
8. Seorang yang bernama Bhaskara menyusun sebuah persegi dan empat buah segitiga siku-siku yang memiliki panjang sisi yang sama yaitu a, b dan c kedalam sebuah persegi yang mempunyai panjang sisi c.

Pada gambar (i) terlihat bahwa Luas persegi besar adalah c2. 
Dengan menggunakan penjumlahan luas beberapa bangun pada gambar (ii), sehingga akan terbukti bahwa c2 = a2 + b2. 
Luas bangun (ii) adalah 
2 × (ab) + (b – a)2 = 2ab + b2 –2ab + a2 = a2 + b2 
Jadi, karena luas bagun pada gambar (i) sama dengan luas bangun (ii), maka terbukti benar bahwa teorema Pythagoras berlaku.

9. Perhatikan gambar dua persegi di samping. Panjang sisi persegi besar adalah 15 cm. Luas persegi kecil adalah 25 cm2 Tentukan nilai x.

KUNCI JAWABAN
*Perhatikan ilustrasi gambar diatas*
Karena kedua bangun tersebut merupakan persegi maka memiliki panjang sisi yang sama.
Panjang sisi bangun (i) = 15 cm
Panjang sisi bangun (ii) = √25 = 5 cm
Sehingga akan diperloeh,
AB = 15 cm
BC = 15 + 5 = 20 cm
Dengan menggunakan pythagoras kita dapat menemukan nilai x.
x = √(AB2 + BC2)
= √(152 + 202)
= √(225 + 400)
= √625
= 25 cm
Jadi, nilai x adalah 25 cm.

10. Perhatikan gambar di samping. Diketahui ∆ABC siku-siku di B dengan panjang AC = 40 cm dan BC = 24 cm. Titik D terletak pada AB sedemikian sehingga CD = 25 cm. Panjang AD = … cm

KUNCI JAWABAN
AC = 40 cm
BC = 24 cm
CD = 25 cm
AD = AB – DB
Langkah 1 Cari panjang AB :
AB = √(AC2 – BC2)
= √(402 + 242)
= √(1600 – 576)
= √1024
= 32 cm
Langkah 2 Cari panjang DB :
DB = √(CD2 – BC2)
= √(252 – 242)
= √(625 – 576)
= √49
= 7 cm
AD = AB – DB
= 32 – 7
= 25 cm
Jadi, panjang AD adalah 25 cm.

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day it’s equally important to many families father’s day can be a bit more irreverent than mother’s day in many regards lots of people call home on father’s day gu

ess which type of calls are particularly popular during this holiday we’ll show you the answer at the end of this video father’s day is all about showing father’s appreciation for what they do for ackno

wledging the role of fathers in children’s lives and in many cases simply for making an excuse to hang out with one’s dad the holiday tends to have less of the soft imagery associated with mother’s day and

 in fact it does have a reputation as being an occasion that is rather lighthearted father’s day gifts tend to be not surprisingly manly in nature it’s common for people to buy their dad’s power tools neckties sporting equipment and so forth to show appreciation in fact getting an ugly necktie on father’s day is something of a cliched joke among fathers across the nation it’s been poked fun at in comme

rcials and in other venues father’s day is not quite as popular as mother’s day researchers attribute this partially to the fact that there are more families with single mothers than there are with single fathers which may skew the popularity of the holiday the holiday is consistently popular however and many families find an excuse to do something special just for the father and the family on this particular day for younger children actually making a father’s day gift is something of a tradition many children are encouraged to make something that they think their father would like such as artwork or crafts fo

r example other children may opt to help their father out with chores and now here’s the answer to the quiz do you know what type of calls are popular on father’s day collect calls are particularly popular on father’s day somewhat humorously while fewer people tend to call home on father’s day than they do on mother’s day many of them choose to call collect how was this lesson did you learn

 something interesting is there a day dedicated to fathers in your country please leave a comment at englishclass101.com until next time [Music] hi everyone i’m elisha hanukkah is the most popular jewish holiday in the united states it falls on a date determined by the jewish calendar but is often very close to christmas making for a natural association between the two holidays it’s also called the festival of

 lights and commemorates the rededication of the temple by the maccabees in the second century bc a particular toy is associated with hanukkah do you know which one we’ll show you the answer at the end of this video hanukkah is one of the most important jewish holidays and is one that most peop

le in the united states are very familiar with the distinctive menorah a candelabra that is kindled as part of the celebration is commonly associated with the holiday by most people jewish or otherwise gift giving is also sometimes a part of this holiday even though hanukkah is not as widely celebrated as christmas in the united states it’s a holiday that most people are cognizant of and many non-jewish people who have jewish friends do participate in it to some extent the holiday is also sometimes celebrated by secular jews to keep the holiday season alive for non-religious reasons the name festiv

al of lights comes from the skunci jawaban matematika kelas 8 halaman 11

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Kunci jawaban buku siswa kelas 8 smp mts semester 2  Ayo Kita Berlatih 6.1  Halaman 11 12 13 Semester 2 bab 6 semester 2 kurikulum 2013 edisi revisi 2017 soal dan jawaban buku mtk kelas 2 smp mts semester 1 dan semester 2 tory behind hanukkah according to tradition the lights in the temple were able to keep burning for eight straight days despite only having enough oil to keep burning for one day this tradition is remembered today by the lighting of the menorah this is the hanukkah tradition with which most non-jewish people are familiar and the menorah is widely known in the united states as an emblem of jewish people a hanukkah gilt is a small quantity of money traditionally given at this time of year chocolate coins though they possess no monetary value have become popular over the years as well and now here’s the answer to the quiz do you know which toys associated with hanukkah the drei

del a particular type of top with which a game is associated is a traditional activity for children during this time of year the dreidel is very commonly recognized as a symbol of the jewish people in the u.s how was this lesson did ykunci jawaban matematika kelas 8 halaman 11

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Kunci jawaban buku siswa kelas 8 smp mts semester 2  Ayo Kita Berlatih 6.1  Halaman 11 12 13 Semester 2 bab 6 semester 2 kurikulum 2013 edisi revisi 2017 soal dan jawaban buku mtk kelas 2 smp mts semester 1 dan semester 2 ou learn something interesting are there any holidays with religious significance in your country please leave a comment at englishclass101.com until next time hi everyone i’m alicia kwanza is a holiday in the united states that celebrates the heritage of african americans the holiday originated in 1966 and is held from december 26th until january 1st today it provides an opportunity for african americans and other us citizens to learn about each other as well as a day that

 serves as a uniquely african-american holiday the first film about kwanzaa was released in 2009. do you know the name of that film we’ll show you the answer at the end of this video kwanzaa came out of the 1960s in the united states when racial tensions were particularly high many leaders in the african-american community wanted to create cultural events and holidays that were specific to african americans kwanzaa comes out of that desire this holiday has endured over the years and in fact has become more popular as the years have gone on kwanzaa is very much centered on community the h

oliday’s name comes from a swahili term which refers to both tradition and reason there are seven principles associated with kwanzaa unity collective work and responsibility self-determination purpose cooperative economics creativity and faith the holiday was recently commemorated with its own stamp issued by the united states postal service over the years kwanzaa has become an ideal occasion for people to learn about african-american heritage and culture art literature music and dance are all celebrated at this time of year and shared with friends and family as well as with people outside of the african-american community while it may have come out of a divisive time kwanzaa has become a very

 unifying holiday and one that’s widely acknowledged and celebrated kwanzaa has a seven candle candelabra that’s lit over the course of the holiday this is a tradition similar to other holiday celebrations during the darkest time of year when lights are very important symbols and now here’s the answer to the quiz do you know the name of the first film about kwanzaa that was released in 2009

 the black candle was the first americankunci jawaban matematika kelas 8 halaman 11

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Kunci jawaban buku siswa kelas 8 smp mts semester 2  Ayo Kita Berlatih 6.1  Halaman 11 12 13 Semester 2 bab 6 semester 2 kurikulum 2013 edisi revisi 2017 soal dan jawaban buku mtk kelas 2 smp mts semester 1 dan semester 2  film about the kwanzaa celebration it has been featured in other films however but not as a central element most people in the united states are familiar with kwanzaa and whether or not they celebrate it they generally do know when it’s held hi everybody my name is alicia and i’m here in the studio today with michael hello and today we’re going to be talking about things that every american kid knows so let’s get right into it these are going to be things that we think that maybe now i imagine most or all american kids are aware of or have done to som

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Kunci jawaban buku siswa kelas 8 smp mts semester 2  Ayo Kita Berlatih 6.1  Halaman 11 12 13 Semester 2 bab 6 semester 2 kurikulum 2013 edisi revisi 2017 soal dan jawaban buku mtk kelas 2 smp mts semester 1 dan semester 2 don’t you start us off um ah this is a good one i think everybody knows this everybody still should know this is the magic word so usually when you want to like get someone to say please you’re trying to teach little kids uh how to be polite teach them proper manners a

nd so you say what’s the magic word and they say please so like for example hey mom can i have a cookie what’s the magic word can i have a cookie please and then you give them the cookie yep yep it’s it’s better than saying say please i feel like saying what’s the magic word is i don’t know it’s 

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