Calculate.the perimeter and area of the triangle in the picture.

The diagonal of a square is '12 cm'. Calculate the perimeter and area of the square.

Calculate the perimeter of the triangle shown below. .

In the picture below, the top vertex of a triangle is joined to the midpoint of the opposite side and then the point dividing this line in the ratio 2:1 is joined to the other two vertices. Prove that the areas of all three triangles in the picture on the right are equal to a third of the area of the whole triangle

Circle with centre O touches the sides of the triangle at P, Q and R, AB=AC , AQ=4 centimetres and CQ=6 centimetres.Find the perimeter and the area of the triangle. .

Calculate the area of the triangle shown below.

In the picture below, the top vertex of a triangle is joined to the midpont of the opposite side and then the point dividing this line in the ratio 2:1 is joined to the other two vertices: Prove that the areas of all three triangles in the picture on the are equal to a third of the area of the whole triangle.

The lengths of two sides of a triangle are 8 cm and 10 cm and the angle between them is 40^circ . Calculate its area. What is the area of the triangle with sides of the same Iength, but angle between them 140^circ ?

We have seen how we can draw a series of right triangles as in the picture. How mulch more is the perimeter of the 10^th triangle than the perimeter of the ninth triangle? .

The picture below shows a trapezium divided into four parts by the diagonals. The area of the blue triangle is 4 square centimetres and area of the green triangle is square centimeters. What is the total area of the trapezium ?

In the picture below, two lines are drawn from the top vertex of a triangle to the bottom side: Prove that the ratio in which these lines divide the length of the bottom side is equal to the ratio of the area of the three smaller triangles in the picture.