Advanced Triangle Calculator
Calculate triangle area using Heron's formula from three side lengths. Also computes perimeter and inradius.
Area (Heron's)
14.6969
Perimeter18.0000
Inradius1.6330
Triangle Area via Heron's Formula
Formula
s = (a + b + c) / 2 (semi-perimeter)
Area = sqrt(s × (s-a) × (s-b) × (s-c))
Heron's formula computes the area of any triangle when you know all three side lengths, without needing height or angles.
Inradius
The inradius (radius of the inscribed circle) is: r = Area / s
Example Calculation
Triangle with sides 5, 6, 7.
- 01s = (5+6+7)/2 = 9
- 02Area = √(9 × 4 × 3 × 2) = √216 ≈ 14.6969
- 03Inradius = 14.6969 / 9 ≈ 1.6330
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