Answer:
x ≈ 8.7
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 + 5² = 10²
x² + 25 = 100 ( subtract 25 from both sides )
x² = 75 ( take square root of both sides )
x =
≈ 8.7 ( to the nearest tenth )