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CBSE Class 9 Answered

In ABC, BD and CE are two altitudes such that BD = CE. Prove that ABC is isosceles.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

In ABD and ACE

ADB= AEC= 900

BAD= CAE (common angle)

BD = CE (given)

By AAS Criteria

ABD ACE

AB = AC (CPCT)

Hence, ABC is isosceles.

Answered by | 04 Jun, 2014, 03:23: PM

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