# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 152.12   b = 124   c = 164

Area: T = 8972.866561486
Perimeter: p = 440.12
Semiperimeter: s = 220.06

Angle ∠ A = α = 61.94106983987° = 61°56'27″ = 1.0811069128 rad
Angle ∠ B = β = 465.9995770789° = 45°59'58″ = 0.80328440746 rad
Angle ∠ C = γ = 72.06597245224° = 72°3'35″ = 1.2587679451 rad

Height: ha = 117.9710886338
Height: hb = 144.7243638949
Height: hc = 109.4255190425

Median: ma = 123.8998653746
Median: mb = 145.5143735434
Median: mc = 111.9566452248

Inradius: r = 40.77546324405
Circumradius: R = 86.19107570218

Vertex coordinates: A[164; 0] B[0; 0] C[105.6722239024; 109.4255190425]
Centroid: CG[89.89107463415; 36.4755063475]
Coordinates of the circumscribed circle: U[82; 26.54989471731]
Coordinates of the inscribed circle: I[96.06; 40.77546324405]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 118.0599301601° = 118°3'33″ = 1.0811069128 rad
∠ B' = β' = 1344.000422921° = 134°2″ = 0.80328440746 rad
∠ C' = γ' = 107.9440275478° = 107°56'25″ = 1.2587679451 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    