A right trapezoid is partitioned into 4 triangles by its diagonals, as shown:
Which colored region has a largest area?
They both have the same area. PROOF: Area of (Blue + top white Triangle) = Area of (Red + top white Triangle) (Common base is top side and the parallel side is the bottom side. As area of triangles lying on the same base and between the same parallel lines are equal, hence the above equation) Therefore Area of Blue triangle = Area of Red triangle
Trapezoid as shown has two parallel sides with length 5 and 15 & two diagonals with length 12 and 16. What is its area?
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?
The 2 diagonals of this rectangle divide it into 4 triangles.
If the area of the shaded region is 42, then what is the area of the rectangle?
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?
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.
