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Question
In figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.
Options
1
2
3
4
Solution
In 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.
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