Question

In the adjoining figure,
in A ABC, seg AD and seg BE are altitudes and
AE = BD. Prove that seg AD = seg BE.
B​

Answer 1

Answer:

Given:- AD and seg BE are altitudes and

AE = BD

To Proof That:- seg AD = seg BE

Proof:- In ∆ ABE and ∆ BAD

AE = BD (given)

angle EAB = angle DBA (opp. angle of

equal side)

ED = ED ( Common)

therefore ∆ ABE ≈ ∆ BAD (SAS test)

therefore, seg AD = seg BE. (C.P.C.T.)