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

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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.

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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

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.

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.