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Question

ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that triangle ABE equal and congruent to triangle ACF 


Solution

In triangles ABE and ACF, we have:
BE = CF (Given)
angle AEB = angle AFC = 90 degrees
angle A = angle A (common)
Hence, by AAS congruence rule, triangles ABE and ACF are congruent.

Mathematics

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