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Let ABC is an isosceles triangle in which altitudes BE and CF are drawn to equal sides AC and AB respectively (see figure). What is the relation between BE and CF?

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B E = C F

B E ≠ C F

B E < C F

B E > C F

answer is A.

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Detailed Solution

Given that,

Δ A B C

is an isosceles triangle such that AB = AC with altitudes BE and CF.
Question Image

Consider

Thus, by AAS congruence criteria:

We know that corresponding parts of congruent triangles are equal.

Hence,

So, option (1) is correct.

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