Question

10 cm
х
15 cm
A) 5V 13 cm
C) 5V 14 cm
B) 5V5 cm
D) 5 cm

Answer 1

`option \: b) \: \: \: 5 √(5) cm`

Explanation:

Given,

Base of the triangle = 10

Hypotenuse of the triangle = 15

So, according to Pythagoras Theorem,

`{c}^(2) - {a}^(2) = {b}^(2)`

`{15}^(2) - {10}^(2) = {b}^(2)`

`225 - 100 = {b}^(2)`

`125 = {b}^(2)`

`b = √(125)`

`b = √(5 * 5 * 5)`

`b = 5 √(5) cm \: (ans)`