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Math & Statistics

Triangle Area & Perimeter Solver

Calculate the area (using Heron's formula) and perimeter of a triangle given its three sides.

Inputs

0.110,00,000
0.110,00,000
0.110,00,000

Calculation Results

Perimeter

12

Semi-perimeter (s)

6

Area (Heron's Formula)

6

Is Valid Triangle (1 = Yes, 0 = No)

1

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Formula & Mathematical Explanation

s=a+b+c2,Area=s(s−a)(s−b)(s−c)\displaystyle s = \frac{a+b+c}{2}, \quad \text{Area} = \sqrt{s(s-a)(s-b)(s-c)}

Heron's formula allows calculating the area of any triangle from its three side lengths. The semi-perimeter (s) is half the perimeter. The triangle is valid only if the sum of any two sides is greater than the third side.

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