For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answer:
x = 6
Step-by-step 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 + 8² = 10²
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6