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Geometry Level 3

The area of the red, orange, and green squares are 41 ; 97 ; 106 41; 97; 106 . What's the area of the blue triangle?


The answer is 30.5.

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1 solution

Vijay Simha
Aug 16, 2017

From the square you can find the sides of the triangle to be sqrt(41), sqrt(97) and sqrt(106)

Then apply Heron's formula to find the area of the triangle. A = \sqrt{s(s-a)(s-b)(s-c)},

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