Area with Herons Formula
Area with Herons Formula
Heron's Formula : In some cases, length of each side of the triangle are given but height of the triangle is neither given nor we are able to find in any way, then to find the area of such type of triangle, we use Heron's formula which is given below.
Area of triangle = , where a,b,c are length of the sides of a triangle and s is the semi-perimeter of the triangle i.e.
Example: Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm. Solution : We divide the quadrilateral ABCD in two triangle ABC and ACD For Area ( = Similarly, for a = 5 cm, b = 5 cm, c = 4 cm and s = Area ( =
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The side of a triangle are 13 m, 14 m and 15 m, area of the triangle is: | |||
| Right Option : C | |||
| View Explanation | |||
The sides of triangle are 11 m 60 m and 61 m. The altitude to the smallest side is | |||
| Right Option : D | |||
| View Explanation | |||
The perimeter of a triangular field is 144 m and the ratio of sides 3 :4: 5, the area of the field is | |||
| Right Option : A | |||
| View Explanation | |||
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