Quiz (Math) [+50]

By Admin ReiPosted on December 1, 2022

Triple Pythagoras
(1) 5, 12, x
(2) 20, 25, x
(3) 12, x, 20
Tentukan nilai x

Quiz (Math) [+50]

Jawaban:

13
15
16

Penjelasan dengan langkah-langkah:

NO. 1

$tt5~~~~~12~~~~~ boxed{13}$

pembuktian :

$tt {a}^{2} + {b}^{2} = {c}^{2}$

$tt {5}^{2} + {12}^{2} = {x}^{2}$

$tt25 + 144 = {x}^{2}$

$tt169 = {x}^{2}$

$tt sqrt{169} = x$

$tt sqrt{ {13}^{2} } = x$

$tt13 = x \$

NO. 2

$tt20~~~~~25~~~~~ boxed{15} ~~~~\ tt↓ : 5~~↓ : 5~~↑ times 5 \ tt4~~~~~~~5~~~~~~~~3~~~~~~$

pembuktian :

$tt {c}^{2} - {b}^{2} = {a}^{2}$

$tt {25}^{2} - {20}^{2} = {x}^{2}$

$tt625 - 400 = {x}^{2}$

$tt225 = {x}^{2}$

$tt sqrt{225} = x$

$ttsqrt{ {15}^{2} } = x$

NO. 3

$tt12~~~~~ boxed{16}~~~~~20 ~~~~~\ tt~↓ : 4~~ ↑ times 4~~ ↓ : 4~ \ tt~3~~~~~~~4~~~~~~~~~5~~~~~$

pembuktian :

$tt {c}^{2} - {a}^{2} = {b}^{2}$

$tt{20}^{2} - {12}^{2} = {x}^{2}$

$tt400 - 144 = {x}^{2}$

$tt256 = {x}^{2}$

$tt sqrt{256} = x$

$tt sqrt{ {16}^{2} } = x$

$tt16 = x$

(1)

5, 12, x

a² + b² = c²

5² + 12² = x²

x² = 25 + 144

x² = 169

x = 13

(2) 20, 25, x

a² = c² – b²

x² = 25² – 20²

x² = 625 – 400

x² = 225

x = 15

(3) 12, x, 20

b² = c² – a²

x² = 20² – 12²

x² = 400 – 144

x² = 256

x = 16