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Geometry Level 4

There is a triangle A B C ABC . Side B C BC is produced to point D such that the ratio of B C BC and C D CD is 5 : 3 5:3 .

If A B D = 40 ABD = 40 , find A B C − A C D ABC - ACD .


The answer is 10.

Kushagra Sahni by Kushagra Sahni , 21, India

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1 solution

let BC be 5x , therefore CD will be 3x , hence BD is 8x. as height is same all three triangles , therefore A[ABC]/A[ABD]=BC/BD so, BC/BD=5/8=y/40,therefore,y=25,nowsimilarly CD/BD=3/8=z/40,z=15 therefore,ABC-ACD=10

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Kushagra Sahni - 6 years, 8 months ago

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