Heron's Formula Calculator

This page provides some insight into Heron's Formula and allows you to find the area of triangle using Heron's Formula!
CalculationInputs﻿﻿a
:5m​
﻿
﻿﻿b
:5m​
﻿
﻿﻿c
:9m​
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Output﻿﻿s
:9.5m​
﻿
﻿﻿A
:9.808m2​
﻿
﻿
ExplanationHeron’s formula is credited to Heron of Alexandria (c. 62 CE) and used for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides:
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 arc length calculation
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Then the area can be calculated by:
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A=(s(s−a)(s−b)(s−c)A = \sqrt{(s(s−a)(s−b)(s−c)}A=(s(s−a)(s−b)(s−c)​
Where:
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s=a+b+c2s = \frac{a+b+c}{2}s=2a+b+c​
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🕵️‍♀️ Heron of Alexandria
✍️ Algebraic proof using the Pythagorean theorem
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