Chapter 9, Problem 5RP

To determine

To find:The altitude of the triangle.

Answer to Problem 5RP

The altitude of the triangle is $3\sqrt{3}$

Explanation of Solution

Given information:

The following information has been given:

An equilateral triangle with each side = 6 units

Calculation :

First of all, we draw an altitude from a vertex to the opposite side. Further, we apply Pythagoras theorem on the half triangle formed. We get

  $3^2+x^2=6^2$

Where, x is the height of the altitude. Hence, from the equation, we get

  $x=3\sqrt{3}$