Math, asked by riyaramamoger137, 6 hours ago

use isoceles triangle theorem
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Answered by sanaaa1015
1

Answer:

Solution:

Given: ΔABC is an isosceles triangle

To prove: BE = CF

ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively .

In ΔAEB and ΔAFC,

∠AEB = ∠AFC (Each 90° as BE and CF are altitudes)

∠A = ∠A (Common angle)

AB = AC (Given ΔABC is an isosceles triangle)

∴ ΔAEB ≅ ΔAFC (By AAS congruence rule)

∴ BE = CF (By CPCT)

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