A geometry problem by Yash Sharma

Geometry Level 4

Three straight lines are drawn through point D lying in the interior of triangleABC

The area of three resulting triangles with D as vertex ( \triangle DGJ ; \triangle DIH ; \triangle DEF )

can be written as S1 , S2 and S3 respectively.

find the area of triangle for S1 = 3 S2=12 S3=27

FIND THE AREA OF TRIANGLE ABC

PLEASE SHARE IF YOU LIKE IT.


The answer is 108.

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1 solution

Yash Sharma
Apr 3, 2015

Prove that Δ 1 , 2 , 3 \Delta 1,2 ,3 are similar just through angle chase and then area ratios.

Vishwash Kumar ΓΞΩ - 3 years, 7 months ago

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