Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 6   b = 24   c = 27

Area: T = 65.79108618275
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 11.71658523949° = 11°42'57″ = 0.2044480199 rad
Angle ∠ B = β = 54.31546652873° = 54°18'53″ = 0.94879697414 rad
Angle ∠ C = γ = 113.9699482318° = 113°58'10″ = 1.98991427132 rad

Height: ha = 21.93302872758
Height: hb = 5.4832571819
Height: hc = 4.87333971724

Median: ma = 25.36773017879
Median: mb = 15.44334452115
Median: mc = 11.12442977306

Inradius: r = 2.30884512922
Circumradius: R = 14.774408827

Vertex coordinates: A[27; 0] B[0; 0] C[3.5; 4.87333971724]
Centroid: CG[10.16766666667; 1.62444657241]
Coordinates of the circumscribed circle: U[13.5; -6.00219733597]
Coordinates of the inscribed circle: I[4.5; 2.30884512922]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.2844147605° = 168°17'3″ = 0.2044480199 rad
∠ B' = β' = 125.6855334713° = 125°41'7″ = 0.94879697414 rad
∠ C' = γ' = 66.03105176822° = 66°1'50″ = 1.98991427132 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     