Chapter 13, Problem 2QC

To determine

To calculate: Unknown side of the given triangle.

Answer to Problem 2QC

The side lengths $x=15$

Explanation of Solution

Given information:A diagram of right-angled triangle is given. Also, adjacent as $9$ and opposite as $12$ given.

  

Formula used:We will use the Pythagorean theorem $c^2=a^2+b^2$ . Where adjacent is $b$ , the opposite is $a$ and the hypotenuse is $c$

Calculation: Find the hypotenuse $x$ , using the Pythagorean theorem.

  $c^2=a^2+b^2$

Plug the value of adjacent, opposite, and hypotenuse, we get.

  $\begin{array}{l}{x}^2={12}^2+9^2\\ x^2=144+81\\ x^2=225\\ \sqrt{x^2}=\sqrt{225}\\ x=15\end{array}$