?V is the vertex angle of isosceles triangle ?RVT. Prove that if VS is the median to RT, then VS bisects ?RVT.


(Outline) Since ?RVT is isosceles with ?V the vertex angle, RV ? VT. Then, in ?RVT, ?R ? ?T since they are opposite congruent sides. VS is the median to RT ? RS ? ST. Then ?RVS ? ?TVS by SAS. By C.P., ?RVS ? ?TVS. Thus VS bisects ?RVT.

Mathematics

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