Draw a. regular pentagon and then. a triangle of the same area. Calculate the area

The picture shows a rectangle divided into two parts. Instead of the broken line separating these parts, draw a straight line to divide the rectangle into two other parts of the same area. Calculate the areas of these parts X

Draw a circle and a triangle with one vertex at the center of the circle and the other two on the circle. Draw another triangle of the same area with all three vertices on the circle.

Among an equilateral triangle, a square, a regular hexagon and a circle, all with the same perimeter, which has the largest area?

In the picture, the tangent to the circumcircle of a regular pentagon through a vertex is shown. Calculate the angle which the tangent makes with the two sides of the pentagon through the point of contact.

In the figure, A B C D E is a pentagon with all sides of the same length and all angles of the same size. The sides A B ." and AE extended, meet the side CDextended at P and Q . i). Are the sides of Delta BPC equal to 'the sides of Delta EQD? Why? ii) Are the side of AP and AQ of triangle APQ equal? Why?

Draw a rectangle of sides 4 cm and 3 cm. Draw a right triangle of the same area of this rectangle.

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 ?

Prove that the two triangles shown below have the same area

Angles of 50^circ and 65^circ are drawn at the end of a 5 cm long line, to make a triangle. Calculate its area.

The perpendicular sides of a right angled triangle are 12 and 15 centimetres long. Another right angled triangle of the same area has one of the perpendicular sides 18 centimetres long. What is the length of the other?