Question

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

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

ABC is an isosceles triangle (given)

AB = AC (given)

BE and CF are two medians (given)

To prove: BE = CF

In △CFB and △BEC

CE = BF

(Since, AC = AB = AC/2 = AB/2 = CE = BF)

BC = BC (Common)

∠ECB = ∠FBC (Angle opposite to equal sides are equal)

By SAS theorem: △CFB ≅ △BEC

So, BE = CF (By c.p.c.t)