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ABC has a right angle at B with AC=60, AE=52 and CD=39. Find the length of DE?

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ABC has a right angle at B with AC=60, AE=52 and CD=39. Find the length of DE?

length of DE

posted Jun 29, 2015 by anonymous

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1 Solution

+2 votes

AB.sq + BC.sq = 3600
AB.sq + BE.sq = 52.sq (2704)
BD.sq + BC.sq = 39.sq (1521)
AB.sq + BE.sq + BD.sq + BC.sq = 2704 + 1521= 4225
BE.sq + BD.sq = 4225 - 3600 = 625
√625 = 25 (ans)

solution Jun 30, 2015 by anonymous



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