ABCD is a square and point P inside the square is such that PCD is an equilateral triangle. Find the angle α
Point P is in the interior of the equilateral triangle ABC. If AP = 7, BP = 5, and CP = 6, what is the area of ABC?
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)?
What is the area of the triangle in the given image, if AP=4, BP=5 and CP=3?