Wednesday, December 28, 2011

Puzzle 18 - Tough or tough looking?


In the triangle ABC, the point X divides BC such that BX:XC=2:3. The point Y divides CA such that CY:YA=1:2.  O is the intersection point of AX and BY.  The area of triangle COY is ‘a’, that of triangle COX is ‘b’.  Find the area of the quadrilateral OXBZ, where Z is the point where CO meets AB.

2 comments:

Vidyamanohar said...

Remember a theorem that connects the ratios in which three points on the sides divide them, provided the lines joining these points to the opposite vertices are concurrent?

Vidyamanohar said...

Click Here for the solution

You can download the pdf file with solution.
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