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 . To find the height, we use the Pythagorean theorem (where is the hypotenuse and is the base) to find the other side (height ).

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2. Apply the formula:

Substitute

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