Find the diameter of the semicircle
Quadrilateral ABCD has a 90 degree right angle at C and BC = CD = 10 miles. A car is traveling from A to C. If the car takes the path of AC then it takes 30 minutes. If the car takes the path of AB then BC it takes 35 minutes. If the car takes the path of AD and then DC it takes 40 minutes. The car always travels at a constant speed. What is the speed of the car?
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?
