# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 16   b = 23   c = 27

Area: T = 183.4676618217
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 36.21991096219° = 36°13'9″ = 0.6322142715 rad
Angle ∠ B = β = 58.1454569176° = 58°8'40″ = 1.01548141743 rad
Angle ∠ C = γ = 85.63663212021° = 85°38'11″ = 1.49546357643 rad

Height: ha = 22.93333272771
Height: hb = 15.95436189754
Height: hc = 13.59901198679

Median: ma = 23.7769728648
Median: mb = 18.98802528961
Median: mc = 14.5

Inradius: r = 5.56595944914
Circumradius: R = 13.53992477615

Vertex coordinates: A[27; 0] B[0; 0] C[8.44444444444; 13.59901198679]
Centroid: CG[11.81548148148; 4.5330039956]
Coordinates of the circumscribed circle: U[13.5; 1.03301601558]
Coordinates of the inscribed circle: I[10; 5.56595944914]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.7810890378° = 143°46'51″ = 0.6322142715 rad
∠ B' = β' = 121.8555430824° = 121°51'20″ = 1.01548141743 rad
∠ C' = γ' = 94.36436787979° = 94°21'49″ = 1.49546357643 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    