Question

if a right triangle has a hypotenuse that measures 29.4 m, and one of the legs os messires 13 m, how long is the remaining side?

Answer 1

remaining side ≈ 26.4 m

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.

let x be the measure of the third side , then

x² + 13² = 29.4²

x² + 169 = 864.36 ( subtract 169 from both sides )

x² = 695.36 ( take square root of both sides )

x =
`√(695.36)` ≈ 26.4 ( to 1 decimal place )

the remaining side is approximately 26.4 m