Question

Solve for the missing sideThe figure is a right triangle with a side that is 5 units and a hypotenuse that is 13 units.

Answer 1

Given:

The right angled triangle with a side equal to 5 units and hypotenuse equal to 13 units is given.

To find the third side, we will apply Pythagoras theorem, that is,

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

Substituting the values, we get:

`\begin{gathered} 13^2=5^2+perpendicular^2 \\ \text{Perpendicular}^2=13^2-5^2 \\ =169-25 \\ =144 \\ \text{perpendicular}=\sqrt[]{144} \\ =12 \end{gathered}`

Therefore, the missing side is 12 units.