Question

Find the length of the third side of the right triangle. Give an exact answer and anapproximation to three decimal places if needed.(Simplify your answer. Type an integer or a decimal.)

Answer 1

By pythagorus theorem we know that in a right triangle

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

Now in our question we have :-

Hypotenuse=17 and perpendicular =15

So

$\begin{gathered} 17^2=15^2+b^2 \\ b^2=289-225 \\ b^2=64 \\ b=\sqrt[]{64} \\ b=8 \end{gathered}$

So the third side of the triangle would be 8 units