Chapter 8, Problem 5CR

To determine

To calculate: the length of the hypotenuse.

Answer to Problem 5CR

The length of hypotenuse is $3\sqrt{5}$

Explanation of Solution

Given Information: The length of legs of a right angled triangle is 3 and 6.

Formula used:

The relationship between the legs of right triangle (shown in figure below) a , b and its hypotenuse c is obtained by using Pythagoras theorem.

  

It can be expressed as,

  $\begin{array}{l}{c}^2=a^2+b^2\\ c=\sqrt{a^2+b^2}\end{array}$

Calculation: Consider the right triangle given below.

  

The length of the sides is given as 3 and 6 as shown in the above Figure. So, the length of the hypotenuse can be calculated using the above formula as,

  $\begin{array}{c}c=\sqrt{3^2+6^2}\\ =\sqrt{45}\\ =3\sqrt{5}\end{array}$