Question

Watch help video The hypotenuse of a right triangle measures 20 cm and one of its legs measures 11 em. Find the measure of the other leg. If necessary, round to the nearest tenth oo Answer

Answer 1

We use pythagoras theorem

$\text{hypothenus}^2=opposite^2+adjacent^2$

Let y represent the other leg

$\begin{gathered} 20^2=11^2+y^2 \\ 400=121+y^2 \\ y^2=400-121 \\ y^2=279 \\ y=\sqrt[]{279} \\ y=3\sqrt[]{31}\text{ cm} \\ y=16.70\text{ cm} \\ \end{gathered}$

The measure of the other leg is 16.70 cm