Chapter 9, Problem 14CT

To determine

Tofind:The unknown length

Answer to Problem 14CT

  $c=34$

Explanation of Solution

Given information:

Formula used:

Pythagoras Theorem- $a^2+b^2=c^2$

Where $a$ and $b$ are legs of right angled triangle and $c$ is hypotenuse

Calculation:

In the given triangle-

  $\begin{array}{l}{a}^2+b^2=c^2\\ \Rightarrow {\left(16\right)}^2+{\left(30\right)}^2=c^2\\ \Rightarrow 256+900=c^2\\ \Rightarrow 1156=c^2\\ \Rightarrow c=\sqrt{1156}\\ \Rightarrow c=34\end{array}$