Question

Find the missing side cround to is inches 3 you x inches 1 10 inches

Answer 1

Given,

The measure of the hypotenuse is 15 inches.

The measure of the base is 10 inches.

The measure of the perpendicular is x inches.

By Pythagoras theorem,

`\text{hypotenuse}^2=\text{perpendicular}^2+\text{base}^2`

Substituting the values then,

`\begin{gathered} \text{hypotenuse}^2=\text{perpendicular}^2+\text{base}^2 \\ 15^2=x^2+10^2 \\ 225=x^2+100 \\ 225-100=x^2 \\ x=\sqrt[]{125} \\ x\approx11.18 \end{gathered}`