Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 8   b = 21   c = 27

Area: T = 62.610990337
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 12.75987404169° = 12°45'31″ = 0.22326820287 rad
Angle ∠ B = β = 35.43109446873° = 35°25'51″ = 0.61883866419 rad
Angle ∠ C = γ = 131.8110314896° = 131°48'37″ = 2.3010523983 rad

Height: ha = 15.65224758425
Height: hb = 5.963284794
Height: hc = 4.638777062

Median: ma = 23.85437208838
Median: mb = 16.91989243157
Median: mc = 8.38215273071

Inradius: r = 2.23660679775
Circumradius: R = 18.11221506177

Vertex coordinates: A[27; 0] B[0; 0] C[6.51985185185; 4.638777062]
Centroid: CG[11.17328395062; 1.546592354]
Coordinates of the circumscribed circle: U[13.5; -12.07547670785]
Coordinates of the inscribed circle: I[7; 2.23660679775]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.2411259583° = 167°14'29″ = 0.22326820287 rad
∠ B' = β' = 144.5699055313° = 144°34'9″ = 0.61883866419 rad
∠ C' = γ' = 48.19896851042° = 48°11'23″ = 2.3010523983 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     