Question

Write the Heron’s Formula to find the area of a triangle. Define the symbols also.

Answer 1

Answer:

$a = \sqrt{s(s - a)(s - b)(s - c)}$

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Answer 2

Answer:

Heron’s formula is used to find the area of a triangle when we know the length of all its sides. It is also termed as Hero’s Formula. We don’t have to need to know the angle measurement of a triangle to calculate its area.

Area of triangle using three sides=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√

Semiperimeter, s= Perimeter of triangle/2 = (a+b+c)/2

Hero of Alexandria was a great mathematician who derived the formula for the calculation of the area of a triangle using the length of all three sides. It is also termed as Hero’s Formula. He also extended this idea to find the area of quadrilateral and also higher-order polygons. This formula has its huge applications in trigonometry such as proving the law of cosines or law of cotangents, etc.

Explanation:

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