Geometry

Question Analysis

The main focus is on using the area formula of a triangle to determine the unknown height. Given the area and base, we must manipulate the formula to isolate and solve for the height.

 

Key Concept Explanation

The area  of a triangle is calculated by , where  is the base and  is the height. To find the height when  and  are known, we can rearrange the formula to  through basic algebraic operations.

 

Step - by - Step Solution

1. Identify the formula for finding the height:

Start with the rearranged formula .

2. Substitute the given values:

Substitute  and  into the formula.

First, calculate