Question

In the given figure, the value of AB × CD is:

Options

• AC × BC

• AC × CD

• AC × AB

• AC² + BC²

Answer 1

AC × BC

Explanation:

The area of right-angled ΔABC can be calculated in two ways: as `1/2 xx AB xx CD` using base AB and height CD, and as `1/2 xx AC xx BC` using the legs AC and BC. Equating these two expressions gives AB × CD = AC × BC.