Chapter 11.2, Problem 4PSA

To determine

To find : The altitude of the given triangle

Answer to Problem 4PSA

The altitude of the triangle is $6$

Explanation of Solution

Given information : The following information has been given

The base of the triangle is $7$

The area of the triangle is $21$

Formula used : The area of any triangle will be

  $A=\frac{1}{2}(base)(altitude)$

Calculation : We know that the area of a triangle can be calculated as

  $A=\frac{1}{2}(base)(altitude)$

Thus, substituting the given values, we get

  $21=\frac{1}{2}(7)(a)\to a=6$

Where, a is the altitude of the triangle. Hence, we get

  $a=6$