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 first need to find the missing side (base) 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 base:

Given the hypotenuse and height . Using the Pythagorean theorem .

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