Question

halo kak, tolong jawab pertanyaannya yang bener yaa.. sama kasih cara-cara nya. makasihh​

Answer 1

1a x= 24

1b x= 5

2a L = 336 K = 96

2b L = 830 K = 160

3a x=18 y=9√3

3b x=6 y=6√3

4a 8√2

4b 3√2

5. 27m

Cara Pengerjaan

1a.

30² = 18² + x²

x² = 30² - 18²

x² = 900 - 324

x² = 576

x = √576

x = 24

1b.

15² = 10² + x²

x² = 15² - 10²

x² = 225 - 100

x² = 25

x = √24

x = 5

2a.

x² = 16² + 12²

x² = 256 + 144

x² = 400

x = √400

x = 20

34² = 16² + y²

y² = 34² - 16²

y² = 1.156 - 256

y² = 900

y = √900

y = 30

Luas = (a.t)/2

L = [(y+12)(16)]/2

L = [(30+12)(16)]/2

L = (42.16)/2

L = 336

Keliling = s + s + s

= 34 + x + (y+12)

= 34 + 20 + (30+12)

= 34 + 20 + 42

= 96

2b.

25² = 15² + k²

k² = 25² - 15²

k² = 625 - 225

k² = 400

k = √400

k = 20

t² = 48² + 20²

t² = 48² + 20²

t² = 2.304 + 400

t² = 2.704

t = √2.704

t = 52

Luas = [(AB + CD) × y]/2

L = [(73 + 10) × 20] /2

L = (83×20)/2

L = 830

Keliling = AB + BC + CD + DA

K = 73 + 52 + 10 + 25

K = 160

3a.

PR : PQ = 1 : √3

9 : y = 1 : √3

y = 9.√3

y = 9√3

x² = 9² + y²

x² = 9² + 9√3²

x² = 81 + 243

x² = 324

x = √324

x = 18

3b.

AB : BC = 2 : 1

12 : x = 2 : 1

2x = 12

x = 6

12² = x² + y²

y² = 12² - x²

y² = 12² - 6²

y² = 144 - 36

y² = 108

y = √108

y = 6√3

4a.

AC² = AB² + BC²

x² = 8² + 8²

x² = 64 + 64

x² = 128

x = √128

x = 8√2

4b.

KM² = KL² + LM²

√72² = x² + x²

√72² = 2x²

√72 = 2x

6√2 = 2x

x = 3√2

5. Diilustrasikan seperti gambar berikut

RC² = RB² + BC²

29² = y² + 20²

y² = 29² - 20²

y² = 841 - 400

y² = 441

y = √441

y = 21

AC² = AB² + BC²

52² = AB² + 20²

AB² = 52² - 20²

AB² = 2.704 - 400

AB² = 2.304

AB = √2.304

AB = 48

x = AB - y

x = 48 - 21

x = 27

Jadi jarak kedua kapal tsb adalah 27m