Chapter 8, Problem 14CR

To determine

To calculate: value of x in the given isosceles triangle.

Answer to Problem 14CR

The value of x is $7\sqrt{2}$

Explanation of Solution

Given Information: The legs of an isosceles triangle are 7 units long.

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 isosceles right triangle given below.

  

Considering the triangle, the Pythagoras theorem gives,

  $\begin{array}{c}{x}^2=\sqrt{7^2+7^2}\\ x^2=\sqrt{49+49}\\ =7\sqrt{2}\end{array}$