Question

QuestionA right triangle has side 40 and hypotenuse 85. Use the Pythagorean Theorem to find the length of the third side.

Answer 1

Given:

The right triangle with side 40 and hypotenuse is 85.

By using the pythagorean theorem,

`\begin{gathered} \text{hypotenuse }^2=side^2+side^2 \\ 85^2=40^2+side^2 \\ 7225-1600=side^2 \\ \text{side }^2=5625 \\ \text{Taking square root on both side,} \\ \text{side}=\sqrt[]{5625} \\ \text{side}=75 \end{gathered}`

Answer: The length of the third side is 75 unit.