As shown, a rectangle is partitioned into four triangles. Areas of two right triangles are 30 and 50....

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As shown, a rectangle is partitioned into four triangles: 1 equilateral and 3 right triangles. The areas of two of the right triangles are 30 and 50. Find the area of the remaining right triangle?

A rectangle is divided by four lines, as shown, with 4 of the resulting triangles having known areas. Find the area of the quadrilateral that is shaded in grey.

Four right triangles with distinct integer hypotenuses are put together to form a quadrilateral, as shown in image.
What's the smallest possible perimeter of this quadrilateral?

Note: Legs of the triangles need not to be integers.

A square with side length 1 is divided into 4 congruent right triangles, as shown, and a square in the center. Inscribe a circle in each triangle and in the center square. If all 5 circles are congruent, what is the radius of each circle?