Find the value of the variable in the triangle below. Round decimal answers to the nearest tenth.

x = 7.5

Step-by-step explanation:

This is a right angle triangle so the Pythagorean rule applies

The hypotenuse is opposite the right angle and it is also the longest side

Now, apply the Pythagorean rule

15^2 = 13^2 + x^2

225 = 169 + x^2

225 - 169 = x^2

56 = x^2

Take the square root of both sides

7.48 = x

x = 7.5 ... to the nearest tenth