Geometry Problem 1285


Elements: Triangle, Quadrilateral, 60, 150, 90 Degree Angles, Congruence, Measurement.

In a quadrilateral ABCD, angle  A = 60, angle B= 150 and angle C = 90 degrees, so that AC = BD. Prove that 2AD = 6AB = 3CD. (Trigonometry is not allowed.)
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.

Geometry Problem 1285: Triangle, Quadrilateral, 60, 150, 90 Degree Angles, Congruence, Measurement


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Triangle
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