SOLUTION: Prove: In an isosceles triangle two medians are equal. https://media.glynlyon.com/g_geo_ccss_2013/9/q413a.gif

Algebra ->  Geometry-proofs -> SOLUTION: Prove: In an isosceles triangle two medians are equal. https://media.glynlyon.com/g_geo_ccss_2013/9/q413a.gif      Log On


   

Question 885686: Prove: In an isosceles triangle two medians are equal.
https://media.glynlyon.com/g_geo_ccss_2013/9/q413a.gif
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
AC = BC (since triangle ABC is isosceles), so AN = (1/2)AC =(1/2)BC = BM.
Angle NAB = Angle MBA (since triangle ABC is isosceles).
And AB = BA.
So Triangle NAB congruent to Triangle MBA by the S-A-S test.
So BN = AM.