# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 24   b = 28   c = 30

Area: T = 315.7077142776
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 48.73664340939° = 48°44'11″ = 0.85106112406 rad
Angle ∠ B = β = 61.27883074912° = 61°16'42″ = 1.07695082258 rad
Angle ∠ C = γ = 69.98552584149° = 69°59'7″ = 1.22114731872 rad

Height: ha = 26.30989285647
Height: hb = 22.55105101983
Height: hc = 21.04771428518

Median: ma = 26.42196896272
Median: mb = 23.28108934536
Median: mc = 21.33107290077

Inradius: r = 7.77001742141
Circumradius: R = 15.96441620892

Vertex coordinates: A[30; 0] B[0; 0] C[11.53333333333; 21.04771428518]
Centroid: CG[13.84444444444; 7.01657142839]
Coordinates of the circumscribed circle: U[15; 5.46439245246]
Coordinates of the inscribed circle: I[13; 7.77001742141]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.2643565906° = 131°15'49″ = 0.85106112406 rad
∠ B' = β' = 118.7221692509° = 118°43'18″ = 1.07695082258 rad
∠ C' = γ' = 110.0154741585° = 110°53″ = 1.22114731872 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    