Four congruent equilateral triangles are placed in a row.
A line connects the bottom left vertex of the first triangle to the top vertex of the last triangle.
If each equilateral triangle has an area equal to 6, what is the area above the line contained within the triangles, as shaded in yellow?
Five congruent circles are placed with their centers equally spaced and collinear as shown. A line connects the bottom of the first circle and the top of the fifth circle. The area under the line enclosed by the circles, shown in yellow, is equal to 40. The overlapping area between two circles is 5.
What is the area of a single circle?
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.
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?
Two triangles have integral side lengths, with all sides being less than 50. They are similar but not congruent and smaller triangle has two side lengths identical with the larger triangle.
What is the sum of the side lengths of the larger triangle?