We have already learnt that area of a triangle[altitude corresponding to that side (or height)]
[altitude corresponding to base (or height)]
Thus, the area of a triangle
Note:
Unit of measurement for area of any plane figure is taken as square metre (m2) or square centimetre (cm2), etc.
When it is not possible to find the height of the triangle easily and measures of all the three sides are known then we use Heron’s formula, which is given by
Area of a triangle =
where a, b and c are the sides of the triangle and s = semi-perimeter, i.e. half the perimeter of the triangle =
Let the side of the equilateral triangle be ‘a’.
∴
⇒ Area of the triangle
Thus, the area of an equilateral triangle
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1. What is Heron's formula? | ![]() |
2. How is Heron's formula derived? | ![]() |
3. What is the significance of Heron's formula? | ![]() |
4. Can Heron's formula be used for all types of triangles? | ![]() |
5. What are some real-life applications of Heron's formula? | ![]() |
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