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Mathematics

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Refer to the image. Prove that the area of triangle ABE = the area of triangle BFC?

Refer To The Image Prove That The Area Of Triangle ABE The Area Of Triangle BFC class=

Answer :

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Answer:

In ΔABE and ΔACF,

∠BAE=∠CAF (Common angle)

∠AEB=∠AFC ....(∵BE⊥AC and CF⊥AB)

BE=CF (Given that altitudes are equal)

By AAS criterion of congruence,

ΔABE≅ΔACF

Hence,

AB=AC (by CPCT)

Step-by-step explanation:

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