Question

I just need a simple explanation on how to get this done

Answer 1

Given triangle is a right angled triangle with hypotenuse 25 units and altitude 24 units.

To find the length of the base, use the Pythagoras formula

`\text{Hypotenuse}^2=Base^2+Altitude^2`

From the formula,

`\text{Base}^2=Hypotenuse^2-Altitude^2`

Substitute the lengths of hypotenuse and altitude nto the formula.

`\begin{gathered} \text{Base}^2=25^2-24^2 \\ =625-576 \\ =49 \end{gathered}`

Take square root on both sides.

`\begin{gathered} \text{Base}=\sqrt[]{49} \\ =7 \end{gathered}`

So, the base is of length 7 units, that is, the length of the third side is 7 units.