Answer:
x = 9
Explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + 6² = (
)²
x² + 36 = 117 ( subtract 36 from both sides )
x² = 81 ( take square root of both sides )
x =
= 9