In the given figure, BE ⊥ CA and CF ⊥ BA such that BE=CF. Then, which of the following is true?

Question

Philoid · Accepted Answer

From the given figure, we have

BE is perpendicular to CA

Also, CF is perpendicular to BA

And, BE = CF

Now, in ∆ABE and ∆ACF we have:

BE = CF (Given)

∠BEA = ∠CFA = 90^o

∠A = ∠A (Common)

∴ By AAS congruence criterion

∆ABE ≅ ∆ACF

Hence, option (A) is correct