Figure A shows a triangle with sides of lengths s, t, and u and a median of length m. Prov...

Figure A shows a triangle with sides of lengths s, t, and u and a median of length m. Prove that

Hint: Set up a coordinate system as indicated in Figure B. Then each of the quantities m2, s2, t2, and u2 can be computed in terms of a, b, and c.

Figure A

Figure B