Find the value of X in the Isosceles triangle shown below

D

Step-by-step explanation:

Consider the right triangle on the right with base = x

Using Pythagoras' identity

The square on the hypotenuse is equal to the sun of the squares on the other 2 sides, that is

( x )² + 12² = 13², that is

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25

Multiply both sides by 4

x² = 100 ( take the square root of both sides )

x = = 10 → D