The problem asks us to form a quadratic expression based on the diagram. The diagram shows a right-angled triangle with sides labeled $p$, $q$, and $r$, where $r$ is the hypotenuse.
2025/4/25
1. Problem Description
The problem asks us to form a quadratic expression based on the diagram. The diagram shows a right-angled triangle with sides labeled , , and , where is the hypotenuse.
2. Solution Steps
Since the triangle is right-angled, we can apply the Pythagorean theorem:
We want to express this as a quadratic expression. The general form of a quadratic expression is .
Rearranging the Pythagorean theorem, we get: