Question

Find the value of X In the triangle below

Answer 1

x = 5.

Pythagorus Theorem:
c^2 = b^2 + a^2
(13)^2 = (12)^2 + a^2
a = sqrt((13)^2 - (12)^2))
a = 5

Answer 2

First check attached image

By Pythagoras theorem,

$ac^{2} = {bc^{2} + ab^{2} }$

$→13^{2} = {x^{2} + 12^{2} }$

$→13^{2} = {x^{2} + 144}$

$→169 = x^{2} + 144$

$→169 - 144 = x^{2}$

$→25 = x^{2}$

$→ \sqrt{25} = x$

$→5 = x$

Therefore, value of x is 5