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

0 votes
376 views

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?

posted May 24, 2018
Looking for solution? Promote on:

Similar Puzzles
+1 vote

A right trapezoid is partitioned into 4 triangles by its diagonals, as shown:

Which colored region has a largest area?

0 votes

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.

0 votes

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.

0 votes

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?

0 votes

3 identical 30°, 60°, 90° right triangles are arranged as shown in figure. What is the ratio between greed and red line?