Heron's Formula

Heron's Formula

Heron's Formula

Area of a Triangle from its Sides

You know that the formula for calculating the area of a triangle is 1/2 × base × height.
Heron's formula is named after Hero of Alexandria, a Greek Engineer and Mathematician in 10 - 70 AD. You can calculate the area of a triangle if you know the lengths of all three sides.
Therefore, you do not have to rely on the formula for area that uses base and height.
Just use these two steps:

Step 1: Calculate "s" (semi-perimeter).

Step 2: Then calculate the area using the following formula.

Example: What is the area of a triangle with side lengths 4 cm, 6 cm and 8 cm?
Solution: Here, a = 4 cm, b = 6 cm and c = 8 cm.
 Thus, s = (4 + 6 + 8)/2 = 9

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