ABC is an isosceles triangle in which AB = AC. BE and CF are its two medians. Show that BE = CF.

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Solution

In the triangle ABC it is given that

, and are medians.

We have to show that

To show we will show that

In triangle ΔBFC and ΔBEC

As, so

.........(1)

BC=BC (common sides) ........(2)

Since,

As F and E are mid points of sides AB and AC respectively, so

BF = CE ..........(3)

From equation (1), (2), and (3)

HenceProved.

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