A geometry problem by Ajay Sambhriya

Geometry Level 3

The figure above shows a square ABCD of side length 12.
A quarter circle of radius 6 is inscribed in it such.
Line MN is tangent to the quarter circle such that CM and CN are equidistant.

Find the area of the triangle MNC.


The answer is 36.

Ajay Sambhriya by Ajay Sambhriya , 27, India

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2 solutions

Ajay Sambhriya
Oct 1, 2016

1 Helpful 0 Interesting 0 Brilliant 0 Confused

You have given an extra information triangle MNC will have the same area for any side length of square provided the side >or= CN or CM

Vishwash Kumar ΓΞΩ - 4 years, 8 months ago

I had made a silly mistake while answering one of your questions (A Geometry Problem by Akshat Sharda geometry level 3) . Now I don't have any permission to post the solution. Can you do it for me ? Please post this solution to your question (A Geometry Problem by Akshat Sharda geometry level 3) .

Vishwash Kumar ΓΞΩ - 4 years, 8 months ago
Vishwash Kumar
Oct 7, 2016

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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