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 right trapezoid is partitioned into 4 triangles by its diagonals, as shown:
Which colored region has a largest area?
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?
3 identical 30°, 60°, 90° right triangles are arranged as shown in figure. What is the ratio between greed and red line?
