A Question of 2018, and a Semicircle
A semicircle with diameter 2018 has 2 triangles inscribed in it. Point X is the furthest point from the flat surface, and is on the semicircle's arc. If the pependicular height of X to the flat surface and the perpendicular height of Y to the flat surface is in the ratio of 4:1, find the total perimeter of the 2 triangles, Triangle XAB and Triangle YAB, rounding your answer to 2 decimal places.
The answer is 8969.99.
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