Question

In the following figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.

Options

• 1

• 2

• 3

• 4

Answer 1

In the following figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is 3.

Explanation:

A triangle, in which one angle is equal to 90° is called a right-angled triangle.

Since, ∠BAC = 90°

ΔBAC is a right-angled triangle.

Also, ∠ADB = ∠ADC = 90°  ...[ AD Perpendicular to BC]

∠ADB and ∠ADC are also right-angled triangles.

Hence, there are 3 right-angled triangles.