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A right trapezoid is partitioned into 4 triangles by its diagonals, as shown. Which colored region has a largest area?

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A right trapezoid is partitioned into 4 triangles by its diagonals, as shown:

enter image description here

Which colored region has a largest area?

posted May 10, 2017 by anonymous

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1 Answer

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They both have the same area.
PROOF:
Area of (Blue + top white Triangle) = Area of (Red + top white Triangle)
(Common base is top side and the parallel side is the bottom side. As area of triangles lying on the same base and between the same parallel lines are equal, hence the above equation)
Therefore Area of Blue triangle = Area of Red triangle

answer May 11, 2017 by Naveen Chopra



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