Herons Formula-Sample Papers

1.   Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm. (2)

2.   The area of an equilateral triangle whose side is �a� cm is Find its height. (2)

3.   Find the length of a diagonal of a square whose side is 2 cm. (2)

4.   The diagonal of a square is What is the side? (2)

5.   The length of a rectangular plot of land is twice its breadth. If the perimeter of the plot be 180 metres, then find its area. (3)

6.   The lengths of sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 120 cm, find its area. (3)

7.   Find the area of a quadrilateral ABCD in which AB = 8 cm, BC = 6 cm, CD = 8 cm, DA = 10 cm and AC = 10 cm. (3)

8.   The sides of a triangle are 5 cm, 12 cm and 13 cm. What is its area? (2)

9.   What is the area of the given ΔABC? (2)

10.   The sides of a triangle are in the ratio of 3 : 4 : 5 and its perimeter is 510 m. What is the measure of its greatest side? (3)

11.   The perimeter of a right triangle is 30 cm. If its hypotenuse is 13 cm, then what are two sides? (3)