# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 165.4   b = 175.7   c = 166.34

Area: T = 12359.92661175
Perimeter: p = 507.44
Semiperimeter: s = 253.72

Angle ∠ A = α = 57.76597861996° = 57°45'35″ = 1.00880984444 rad
Angle ∠ B = β = 63.96604023477° = 63°57'37″ = 1.11663196119 rad
Angle ∠ C = γ = 58.28798114527° = 58°16'47″ = 1.01771745973 rad

Height: ha = 149.4554971191
Height: hb = 140.6943524389
Height: hc = 148.6110389774

Median: ma = 149.7687996581
Median: mb = 140.696632298
Median: mc = 148.9855153958

Inradius: r = 48.7154827832
Circumradius: R = 97.77550615018

Vertex coordinates: A[166.34; 0] B[0; 0] C[72.60993110497; 148.6110389774]
Centroid: CG[79.65497703499; 49.53767965915]
Coordinates of the circumscribed circle: U[83.17; 51.40773316919]
Coordinates of the inscribed circle: I[78.02; 48.7154827832]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.24402138° = 122°14'25″ = 1.00880984444 rad
∠ B' = β' = 116.0439597652° = 116°2'23″ = 1.11663196119 rad
∠ C' = γ' = 121.7220188547° = 121°43'13″ = 1.01771745973 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    