Question

4. ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see Fig. 7.32). Show To be sure ee Fig. 7.35). hey cover eac iangles are cc E that (i) AABEE AACF (ii) AB = AC, i.e., ABC is an isosceles triangle. B Fig. 7.32​

Answer 1

Explanation:

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

Answer 2

Answer:

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