Find the diameter of the semicircle
ABCD is a quadrilateral. Point O is along AD. A semicircle has a diameter along AD and is tangent to the sides AB, BC, and CD. If AB = 9, CD = 16, and AO = OD, what is the length of AD?
In quadrilateral ABCD, BC = CD. If ∠BAC = 3x, ∠BCA = x, ∠CAD = 5x, and ∠ACD = 3x, what is the value of x?
Quadrilateral ABCD has AD = BC, ∠A + ∠B = 90°, AB = 20, CD = 10, as shown below.
What is the area of ABCD?
The diagonals of a convex quadrilateral are perpendicular. If three sides are equal to 3, 2, and 1, as shown, what is the length of the fourth side?
What is the area of the blue region in the following image?
