ABC is an isosceles triangle in which altitude BE and CF are drawn two equal sides of AC and AB . show that these altitude are equal
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Step-by-step explanation:
In △ABE and △ACF, we have
∠AEB=∠AFC ∣ Since Each =90
∠BAE=∠CAF ∣ Common
and AB=AC ∣ Given
∴ By AAS criterion of congruence, we have
△ABE≅△ACF
⇒BE=CF ∣ Since Corresponding parts of congruent triangles are equal.......................
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