Question

You can see a triangle inside a square. ABCD is a square. P, Q are the midpoints of C D and C B. A fine dot is placed into the figure without looking into the figure. What is the probability of falling the dot in triangle APQ?

Answer 1

Let a be the side of square

The area of triangle ADP = \(A=\frac{1}{2}\times a\frac{1}{2}a=\frac{1}{4}a^{2B}\)