Chapter 9, Problem 12MCQ

To determine

Tofind:The unknown length

Answer to Problem 12MCQ

  $c=\sqrt{34}$

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-

  $\begin{array}{l}{a}^2+b^2=c^2\\ \Rightarrow {\left(3\right)}^2+{\left(5\right)}^2=c^2\\ \Rightarrow 9+25=c^2\\ \Rightarrow 34=c^2\\ \Rightarrow c=\sqrt{34}\end{array}$