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Thanks in advance for the help!

 

Theareaof△BDEis48cm2.ThepointDdivides−ABsothat−AD−DB=15,andpointEdivides−BCsothat−BE−EC=23. Theareaof△ABC,incm2,is

 

 

I have edited this to improve the presentation.   Melody

 Jan 6, 2019
edited by Melody  Jan 12, 2019

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 #1
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since ad/db is 1/5, then the ratio of the heights of the two triangles if you turned it so that line BEC is horizontal would be 5/(1+5) or 5/6, and the ratio of the bases is 2/(2+3) or 2/5. then, the ratio of the areas DEB/ABC = 5/6*2/5 or 1/3, so the area of triangle ABC is just 48*3 or 144.

 Jan 12, 2019
 #2
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Thanks!

Guest Jan 12, 2019

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