Question

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

Answer 1

Answer:

$option \: b) \: \: \: 5 \sqrt{5} cm$

Step-by-step explanation:

Given,

Base of the triangle = 10

Hypotenuse of the triangle = 15

So, according to Pythagoras Theorem,

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

${15}^{2} - {10}^{2} = {b}^{2}$

$225 - 100 = {b}^{2}$

$125 = {b}^{2}$

$b = \sqrt{125}$

$b = \sqrt{5 \times 5 \times 5}$

$b = 5 \sqrt{5} cm \: (ans)$