Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Acute scalene triangle.

Sides: a = 100   b = 120   c = 150

Area: T = 5981.168836412
Perimeter: p = 370
Semiperimeter: s = 185

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 = 119.6233367282
Height: hb = 99.68661394021
Height: hc = 79.74989115217

Median: ma = 126.2933309403
Median: mb = 112.4722218792
Median: mc = 81.08663737011

Inradius: r = 32.33106398061
Circumradius: R = 75.23661365882

Vertex coordinates: A[150; 0] B[0; 0] C[60.33333333333; 79.74989115217]
Centroid: CG[70.11111111111; 26.58329705072]
Coordinates of the circumscribed circle: U[75; 5.95661941466]
Coordinates of the inscribed circle: I[65; 32.33106398061]

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. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     