Question

Describe the process to completely solve a right triangle for which you are given the length of the hypotenuseand the length of one leg.

Answer 1

To solve for the length of a side of a right-angle having been given the length of the hypotenuse & another side, we will use the Pythagoras theorem.

Pythagoras theorem is given by the formula:

`\begin{gathered} c^2=a^2+b^2\Rightarrow a^2=c^2-b^2 \\ a^2=c^2-b^2 \\ a=\sqrt[]{c^2-b^2} \\ \text{where c = length of the hypotenuse, b = length of the known side, } \\ a=\text{length of the unknown side} \end{gathered}`