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?
Suppose ABCD is an isosceles trapezoid with bases AB and CD and sides AD and BC such that |CD| > |AB|. Also suppose that |CD| = |AC| and that the altitude of the trapezoid is equal to |AB|
If |AB|/|CD| = a/b where a and b are positive coprime integers, then find a^b?
P is a point inside triangle ABC. Lines are drawn through P parallel to the sides of the triangle. The three resulting triangles with the vertices at P have areas 4, 9, 49 sq units. The area of triangle ABC is
Point P is selected uniformly at random in the interior of square ABCD. What is the probability that angle APD is obtuse (greater than 90 degrees)?
Trapezoid as shown has two parallel sides with length 5 and 15 & two diagonals with length 12 and 16. What is its area?
You are given a circle with diameter AB and a point C. You are to construct a perpendicular CD to the diameter AB using only a straight edge (a ruler without markings).
