If D is the midpoint of BC in △ABC and ∠A = 90⁰, then AD = _______.

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)
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  1. \(\frac{BC}{4}\)
  2. 2BC
  3. \(\frac{BC}{2}\)
  4. BC

Answer (Detailed Solution Below)

Option 3 : \(\frac{BC}{2}\)
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Detailed Solution

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Concept: In a right-angle triangle, the length of the median is half the length of the hypotenuse.

Calculation:

F3 SSC Savita 09-10-23 D2

In right-angled ∆ABC, 90° at A

BC2 = AB2 + AC2 

If, D is the midpoint of BC, then

AD = BD = CD = BC/2

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