There is an equilateral triangle with a square inscribed inside it. One of the sides of the square lies on a side of the equilateral ?. What is the ratio of the area of the square to that of the equilateral triangle?
?ABC has integer sides x, y, z such that xz = 12. How many such triangles are possible?
ABCDE is a regular pentagon. O is a point inside the pentagon such that AOB is an equilateral triangle. What is ∠OEA?
? has sides a2, b2 and c2. Then the triangle with sides a, b, c has to be:
Consider a right–angled triangle with inradius 2 cm and circumradius of 7 cm. What is the area of the triangle?