In the figure, semicircles are drawn with the sides of a triangles as diameters. Prove that the area of the largest semicircle is the sum of the areas of the smaller ones.

Using the figure find the area of the shaded region as the sum of the area of two triangles

A square is drawn on the altitude of an equilateral triangle of side 2 metres. What is the area of the square? .

In the figure small triangles are drawn joining the mid points of large triangle. Find the length of sides of large triangle.

If the sides of a triangle are 4, 5 ad 6 cm. Then the area (in sq cm) of triangle is

A window is in the form of a rectangle surmounted by a semicircle as shown in the figure. The perimeter of the window is 5 metres. If r is the radius of the semicircle and x is the length of the larger side of the rectangle, find a relation between r,x.

Prove that the two circles drawn on the two equal sides of an isosceles triangle as diameters pass through the mid point of the third side.

The figure shows two chords drawn on either sides of a diameter. What is the length of the other chord?