Three squares are shown. The large square has a side length of 60, and the two smaller squares are congruent and each has a side length of 20. What is the area of triangle ABC?
Two circles are drawn inside a square with side length 2 + SQRT(2) as shown in the figure. Let the radius of the larger circle be R and the radius of the smaller circle be r . Find the value of R + r
A circle circumscribed 5 squares with side length 1, as shown below. (The squares are in a 2×2 grid and one circle on the right middle). What is the radius of the circle?
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?
Each side of a square is divided into three equal parts by two points on it, which are connected as shown in the diagram below (that is not drawn to scale). If the smaller, red square has an area of 800, what is the area of the large square?
Three identical squares are shown in the diagram. If the area of the triangle is 1 square meter, what is the area of a single square?
