Source: 2017 Azerbaijan Junior National Olympiad
Tags: geometry, rhombus, trapezoid
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A Rhombus and an Isosceles trapezoid that has same area is drawn in the same circle's outside. Compare their acute angles
(explain your answer)
The question is wrong it might be an isosceles trapezoid and a rhombus with same *area******
Telman wrote:
The question is wrong it might be an isosceles trapezoid and a rhombus with same *area******
Fixed
@above no problem
Hint to this problem :Each side of this trapezoid's length is equal to the side of the rhombus
How does the circle effect here??
Let a side length of the rhoumbus be $r$ now the area of the rhombus in terms of the angle is $r^2\cdot\cos(x)\cdot\sin(x)$
(let one of the angles be $2x$ and the other $180-2x$)