Question

In the given figure, BE and CF are two equal altitudes of L ABC. Show that
(1) ABE congruent to ACF
(1) AB = AC​

Answer 1

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Here is ur answer ⬇️⬇️

(i) Based on the △ ABE and △ ACF

We know that ∠ AEB = ∠ AFC = 90°

It is given that BE = CF

From the figure we know that ∠ A is common for both ∠ BAE and ∠ CAF

So we get ∠ BAE = ∠ CAF = ∠ A

Therefore, by ASA congruence criterion we get △ ABE ≅ △ ACF

(ii) As we know that △ ABE ≅ △ ACF

It is proved that AB = AC.

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