3 identical 30°, 60°, 90° right triangles are arranged as shown in figure. What is the ratio between greed and red line?
Answer: 2:7 EXPLANATION
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?
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?
There are 10 squares that are constructed as shown in the diagram. Find the difference between blue and red angle in degrees.
A semicircle is inscribed in a right triangle as shown. What is the area of the shaded region in the figure?
