In the figure given below AABC, D is the midpoint of BC. DE ⊥ AB, D – InterviewSolution

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1.

In the figure given below AABC, D is the midpoint of BC. DE ⊥ AB, DF ⊥ AC and DE = DF. Show that ΔBED ≅ AΔCFD.

Answer»

Given that D is the mid point of BC of ΔABC.

DF ⊥ AC; DE = DF

DE ⊥ AB

In ΔBED and ΔCFD

∠BED = ∠CFD (given as 90°)

BD = CD (∵D is mid point of BC)

ED = FD (given)

∴ ΔBED ≅ ΔCFD (RHS congruence)

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