The local park at Raghu’s house is in the shape of a triangle. There are 4 posts along the longest side of the park and 2 and 3posts along the other two sides respectively. If none of these posts is at any of the corners of the park, find the number of triangles that are possible with vertices at these posts.

A straight line passes through the point (3, 2) and is perpendicular to the straight line x+ y = 3 and is perpendicular to the straight line x + y = 3. Find its equation

In the figure alongside, there are two concentric circles, centred at O, with diameters as ED and BC. OA is the bisector of ∠BAC while AB is tangent to the inner circle. If OD = 8 cm, what is the area of the triangle OAB?