Geometry

Question Analysis

The main focus is on applying the formula for the area of a triangle to calculate the area of the given right - angled triangle. First, we need to find the missing side (height) using the Pythagorean theorem, and then use the area formula .

 

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 are the base and height. The Pythagorean theorem (where is the hypotenuse and , are the other two sides) helps us find the missing side when the hypotenuse and one side are given.

 

Step - by - Step Solution

1. Find the height:

Given the hypotenuse and base . Using the Pythagorean theorem .