colorful illustration of a large number fifteen, surrounded by triangles
15
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Triangular Quadrangles

Given a triangle ABC. On AC are points D and E such that |AD|=|DE|=|CE|. On BC are points F and G such that |BF|=|FG|=|CG|. The lines AF, AG, BD and BE divide ABC into 5 triangles and 4 quadrangles. The area of triangle ABC is 420.

Challenger

Triangular quadrangles A

Determine the area of the upper quadrangle that has point C as one of its vertices. Round your answer to the nearest whole number. If the area is dependent on the shape of the triangle, submit 0 as your answer. Attention: the figure is not drawn to scale.

Mastermind

Triangular quadrangles B

Determine the area of the central quadrangle. Round your answer to the nearest whole number. If the area is dependent on the shape of the triangle, submit 0 as your answer. Attention: the figure is not drawn to scale.