Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 20   b = 24   c = 30

Area: T = 239.2476734565
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 41.65496722739° = 41°38'59″ = 0.72769239136 rad
Angle ∠ B = β = 52.89109950542° = 52°53'28″ = 0.92331220084 rad
Angle ∠ C = γ = 85.45993326719° = 85°27'34″ = 1.49215467317 rad

Height: ha = 23.92546734565
Height: hb = 19.93772278804
Height: hc = 15.95497823043

Median: ma = 25.25986618806
Median: mb = 22.49444437584
Median: mc = 16.21772747402

Inradius: r = 6.46661279612
Circumradius: R = 15.04772273176

Vertex coordinates: A[30; 0] B[0; 0] C[12.06766666667; 15.95497823043]
Centroid: CG[14.02222222222; 5.31765941014]
Coordinates of the circumscribed circle: U[15; 1.19112388293]
Coordinates of the inscribed circle: I[13; 6.46661279612]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.3550327726° = 138°21'1″ = 0.72769239136 rad
∠ B' = β' = 127.1099004946° = 127°6'32″ = 0.92331220084 rad
∠ C' = γ' = 94.54106673281° = 94°32'26″ = 1.49215467317 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     