Question

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

Answer 1

x = 6

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 =
`√(36)` = 6