# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 16   b = 24   c = 27

Area: T = 190.2655439584
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 35.96113238696° = 35°57'41″ = 0.62876435049 rad
Angle ∠ B = β = 61.74660997912° = 61°44'46″ = 1.07876727416 rad
Angle ∠ C = γ = 82.29325763392° = 82°17'33″ = 1.43662764071 rad

Height: ha = 23.7833179948
Height: hb = 15.85554532986
Height: hc = 14.09437362655

Median: ma = 24.25990189414
Median: mb = 18.66881547026
Median: mc = 15.28988848514

Inradius: r = 5.68795653607
Circumradius: R = 13.62330731428

Vertex coordinates: A[27; 0] B[0; 0] C[7.57440740741; 14.09437362655]
Centroid: CG[11.5254691358; 4.69879120885]
Coordinates of the circumscribed circle: U[13.5; 1.82770527783]
Coordinates of the inscribed circle: I[9.5; 5.68795653607]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.039867613° = 144°2'19″ = 0.62876435049 rad
∠ B' = β' = 118.2543900209° = 118°15'14″ = 1.07876727416 rad
∠ C' = γ' = 97.70774236608° = 97°42'27″ = 1.43662764071 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    