in the co-ordinate axes, so that the rightangle is at the origin.] 10. If the angular points of a triangle ABC be {x^, y^), {x^, yo),{x.., yo), show that the co-ordinates of the point dividing in the ratio 2 : 1 the line joining A to the middle point of BC ixre ^ [Xj^ + x.^ + x.^), 3 {yi + y-i +… … N X Let the angular points of the triangle, A, B, C\ be(Xp .//J. (j-.,. ij.,), {Xy ij.^) respectively. Complete the figureby drawing the ordinates of the angular points. Then ± ixABC = BMLA + ALXC-BMXC. But BMLA = 1{B2I+ AL) 2IL = }, (y, + y^) {x^ - x.^.Similarly ALXC =\ {yi + y-^) (x.^ - x^); and…
Geometry, Analytic
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