Question

find the heron's formula for 22,120,122​

Answer 1

Heron's formula

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

where s = semi perimeter. => sum of all sides/2

and a, b, and c represents the three sides of the triangle.

therefore s = a+b+c/2

Here

$a = 22 \\ b = 120 \\ c = 122$

therefore

$s = (22 + 120 + 122) \div 2 \\ = > s = 264 \div 2 \\ = > s = 132$

By using Heron's Formula

Area

$= > \sqrt{s(s - a)(s - b)( s- c)} \\ = > \sqrt{132(132 - 22)(132 - 120)(132 - 122)}$

=> √132×110×12×10

=> √1742400

=> 1320..

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