Geometry

Question Analysis

The main focus is applying the formula for the area of a triangle to calculate the area of the given right - angled triangle. We need to correctly identify the base and height and use the formula to find the area.

 

Key Concept Explanation

The area  of a triangle is calculated using the formula , where  is the base and  is the height. For a right - angled triangle, the two sides forming the right angle can be considered as the base and the height. This formula is based on the fact that a triangle is half of a parallelogram with the same base and height.

 

Step - by - Step Solution

1. Identify the base and height:

In this right - angled triangle, the base  and the height .

2. Apply the formula:

Substitute the values into the formula .

First, calculate :