Question

Tolong dong ya kawan-kawan, buat kisi-kisi ​

Answer 1

Nomor 1

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {15}^{2} + {20}^{2} = {25}^{2} [/tex]

[tex]225 + 400 = 625[/tex]

[tex]625 = 625[/tex]

D

Nomor 2

[tex] {a}^{2} + {b}^{2} \ne {c}^{2} [/tex]

[tex] {12}^{2} + {13}^{2} \ne {17}^{2} [/tex]

[tex]144 + 169 \ne 289[/tex]

[tex]313 \ne \: 289[/tex]

D

Nomor 3

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {1}^{2} + {2}^{2} = {( \sqrt{5} )}^{2} [/tex]

[tex]1 + 4 = 5[/tex]

[tex]5 = 5[/tex]

C

Nomor 4

[tex]AC = \sqrt{ {17}^{2} - {8}^{2} } [/tex]

[tex]AC = \sqrt{225} [/tex]

[tex]AC =15 \: cm[/tex]

- - -

[tex]BC = \sqrt{ {15}^{2} - {9}^{2} } [/tex]

[tex]BC = \sqrt{144} [/tex]

[tex]BC = 12 \: cm[/tex]

D

Nomor 5

[tex] {x}^{2} + {(8 \sqrt{5}) }^{2} = (3x) {}^{2} [/tex]

[tex] {x }^{2} + 320 = 9 {x}^{2} [/tex]

[tex]320 = 8 {x}^{2} [/tex]

[tex]40 = {x}^{2} [/tex]

[tex]x = \sqrt{40} [/tex]

[tex]x = \sqrt{4 \times 10} [/tex]

[tex]x = 2 \sqrt{10} \: cm[/tex]

D

Nomor 6

[tex]x = \sqrt{ {8}^{2} + {3}^{2} + {5}^{2} } [/tex]

[tex]x = \sqrt{98} [/tex]

[tex]x = \sqrt{49 \times 2} [/tex]

[tex]x = 7 \sqrt{2} \: cm[/tex]

D

Nomor 7

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

- - -

(i)

[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]

[tex]100 = 100[/tex]

- - -

(iii)

[tex] {20}^{2} + {21}^{2} = {29}^{2} [/tex]

[tex]841 = 841[/tex]

B

Nomor 8

[tex](3r + 1) {}^{2} + (2 + r) {}^{2} = {5}^{2} [/tex]

[tex](9 {r}^{2} + 6r + 1) + (4 + 4r + {r}^{2} ) = 25[/tex]

[tex]10 {r}^{2} + 10r + 5 = 25[/tex]

[tex]10 {r}^{2} + 10r - 20 = 0[/tex]

[tex] {r}^{2} + r - 2 = 0[/tex]

[tex](r + 2)(r - 1) = 0[/tex]

[tex]r = - 2 \: atau \: r = 1[/tex]

karena sisi maka harus bernilai positif yaitu r = 1

A

Nomor 9

[tex]alas = \sqrt{ {10}^{2} - {6}^{2} } [/tex]

[tex]alas = \sqrt{64} [/tex]

[tex]alas = 8[/tex]

- - -

[tex]keliling \: = 10 + 6 + 8[/tex]

[tex]keliling = 24 \: cm[/tex]

C

Nomor 10

[tex]luas = 100[/tex]

[tex] {s}^{2} = 100[/tex]

- - -

[tex]diagonal = \sqrt{ {s}^{2} + {s}^{2} } [/tex]

[tex]diagonal = \sqrt{100 + 100} [/tex]

[tex]diagonal = \sqrt{200} [/tex]

[tex]diagonal = \sqrt{100 \times 2} [/tex]

[tex]diagonal = 10 \sqrt{2} \: cm[/tex]

C