A right trapezoid has parallel sides of 3 and 7. What is the radius of the inscribed circle, tangent to all four sides?
Trapezoid as shown has two parallel sides with length 5 and 15 & two diagonals with length 12 and 16. What is its area?
A circle of radius 12 is inscribed in a right triangle, dividing the hypotenuse into lengths of a and b = 44. What is the length of a?
Triangle ABC has sides AB = 8, BC = 7, and AC = 9. The segments AB and AC are extended and a circle O is constructed exterior to the triangle and is tangent to BC at D and the extended lines through AC and AB at N and M, as shown. What is the radius of circle O?
Three congruent circles are pairwise tangent and each has a radius equal to 2. A circle circumscribes the three circles. Calculate the total area shaded in blue. The blue region is comprised of two parts. One region is the three circular sectors of the small circles enclosed by the line segments connecting the three small circle’s centers. The other region is outside the three small circles and bound by the large circumscribing circle (exclude the area in between the three small circles).
In trapezoid ABCD, the sides AB and CD are parallel and AB > CD. Point P is in the interior, dividing the trapezoid into 4 triangles with areas CPD = 2, CPB = 3, BPA = 4, APD = 5. What is AB/CD equal to?
