Question

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


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Answer 1

Answer:

Step-by-step explanation:

We get two triangles BFC and BEC

Both share a common base, i.e. BC.

A second side is also equal, as it is half of an equal length in both cases

And the included angle is the same, since they are in an isosceles triangle.

Hence, they are congruent by SAS theorem.

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