Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 26.7   b = 31.2   c = 27.03

Area: T = 341.1788351689
Perimeter: p = 84.93
Semiperimeter: s = 42.465

Angle ∠ A = α = 54.01096579884° = 54°35″ = 0.94326463598 rad
Angle ∠ B = β = 70.99439051332° = 70°59'38″ = 1.23990773934 rad
Angle ∠ C = γ = 54.99664368784° = 54°59'47″ = 0.96598689004 rad

Height: ha = 25.55664308381
Height: hb = 21.87704071595
Height: hc = 25.24444211386

Median: ma = 25.95878109632
Median: mb = 21.87222529704
Median: mc = 25.77003847247

Inradius: r = 8.03443424394
Circumradius: R = 16.49994870634

Vertex coordinates: A[27.03; 0] B[0; 0] C[8.69553551609; 25.24444211386]
Centroid: CG[11.90884517203; 8.41548070462]
Coordinates of the circumscribed circle: U[13.515; 9.46545574833]
Coordinates of the inscribed circle: I[11.265; 8.03443424394]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.9990342012° = 125°59'25″ = 0.94326463598 rad
∠ B' = β' = 109.0066094867° = 109°22″ = 1.23990773934 rad
∠ C' = γ' = 125.0043563122° = 125°13″ = 0.96598689004 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     