Question

What is the value of x? Enter your answer in the box.

Answer 1

Answer:

x = 5

Step-by-step explanation:

Since the triangle is right with hypotenuse of 13

Use Pythagoras' identity to solve for x

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

x² + 12² = 13²

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

x² = 25 ( take the square root of both sides )

x = $\sqrt{25}$ = 5