Question

Find the length of the third side. If necessary, round to the nearest tenth.
6
14

Answer 1

≈ 12.6

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.

let x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x =
`√(160)` ≈ 12.6 ( to the nearest tenth )