?V is the vertex angle of isosceles triangle ?RVT. Prove that if VS is the median to RT, then 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 meridian to RT ? RS? ST. Then ?RVS ? ?TVS by S.A.S. By C.P., ?RVS ? ?TVS. Thus VS bisects ?RVT.

Mathematics

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