Question

Find the length of the third side. If necessary, round to the nearest tenth.914

Answer 1

The given trinagle is a right angle triangle. let the missing side be x. To find x, we would apply the pythagorean theorem which is expressed as

hypotenuse^2 = one leg^2 + other leg^2

From the triangle,

hypotenuse = 14

one leg = 9

other leg = x

Thus, we have

$\begin{gathered} 14^2=9^2+x^2 \\ 196=81+x^2 \\ x^2\text{ = 196 - 81 = 115} \\ x\text{ = }\sqrt[]{115} \\ x\text{ = 10.72} \end{gathered}$

To the nearest tenth, the length of the third side is 10.7