Chapter 9.7, Problem 7PSA

To determine

To calculate: The altitude of a triangle whose side is 6 mm long

Answer to Problem 7PSA

The altitude of a triangle is $3\sqrt{3}$ mm

Explanation of Solution

Given information :

Equilateral triangle with side 6 mm

Formula used :

In $30°-60°-90°$ triangle, sides are in ratio $\text{x}:\text{x}\sqrt{3}:2\text{x}$

Altitude in a equilateral triangle is second longest segment.

Therefore, in this case

  $2\text{x}=\text{6}\Rightarrow \text{x=3mm}$

Hence, altitude of the triangle $=\text{x}\sqrt{3}=3\sqrt{3}\text{ mm}$

Calculation :