Chapter 13, Problem 1QC

To determine

To calculate: Unknown side of the given triangle.

Answer to Problem 1QC

The side lengths $x=11.7$

Explanation of Solution

Given information:A diagram of right-angled triangle is given. Also, adjacent as $11$ and opposite as $4$ given.

  

Formula used:We will use the Pythagorean theorem $c^2=a^2+b^2$ . Where adjacentis $b$ ,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.

  $\begin{array}{l}{x}^2=4^2+{11}^2\\ x^2=16+121\\ x^2=137\\ \sqrt{x^2}=\sqrt{137}=11.70\\ x=11.7\end{array}$