I love triangles

Geometry Level 1

Find the area of the yellow triangle shown below.


The answer is 116.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

The area of the yellow triangle is equal to the area of the rectangle minus the area of the three triangles. We have

A = 14 ( 20 ) − 1 2 ( 8 ⋅ 14 + 12 ⋅ 8 + 6 ⋅ 20 ) = 116 A=14(20)-\dfrac{1}{2}(8\cdot 14 + 12\cdot 8+6\cdot 20)=\boxed{116}

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