In ABC if AD BC then AB2 + CD2 is equal...

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In ΔABC, if AD ⊥ BC, then AB² + CD² is equal to

A. 2BD²

B. BD² + AC²

C. 2AC²

D. None of these

Answer: Option B

Solution (By Examveda Team)

According to question,
Triangles mcq solution image

Triangles mcq solution image

Given :
AD ⊥ BC
∴ In ΔADB
AB² = BD² + AD²
AD² = AB² - BD² . . . . . . . . (i)
In ΔADC
AC² = AD² + CD²
AD² = AC² - CD² . . . . . . . (ii)
Compare equation (i) and (ii)
AB² - BD² = AC² - CD²
AB² + CD² = BD² + AC²

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