points a b c d are collinear and positioned in that order . Find missing lengths
asked Sep 12 in Geometry Answers by dania

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1 Answer

BC+CD=BD, so BC=BD-CD=9x-2-(6x-1)=3x-1.

AB+BC=AC, so 1+3x-1=2+2x and we can find x: 3x=2+2x, x=2.

Therefore, BD=9x-2=18-2=16.

The other lengths are: BC=5, CD=11, AC=6, AD=17.

Draw a picture—it helps.

answered Sep 13 by Rod Top Rated User (589,180 points)

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