# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 18   b = 20   c = 24

Area: T = 176.1566180703
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 47.22114422911° = 47°13'17″ = 0.82441696455 rad
Angle ∠ B = β = 54.64105803778° = 54°38'26″ = 0.95436580328 rad
Angle ∠ C = γ = 78.13879773311° = 78°8'17″ = 1.36437649753 rad

Height: ha = 19.5732908967
Height: hb = 17.61656180703
Height: hc = 14.68796817253

Median: ma = 20.17442410018
Median: mb = 18.70882869339
Median: mc = 14.76548230602

Inradius: r = 5.6822457442
Circumradius: R = 12.26218462286

Vertex coordinates: A[24; 0] B[0; 0] C[10.41766666667; 14.68796817253]
Centroid: CG[11.47222222222; 4.89332272418]
Coordinates of the circumscribed circle: U[12; 2.52204906137]
Coordinates of the inscribed circle: I[11; 5.6822457442]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.7798557709° = 132°46'43″ = 0.82441696455 rad
∠ B' = β' = 125.3599419622° = 125°21'34″ = 0.95436580328 rad
∠ C' = γ' = 101.8622022669° = 101°51'43″ = 1.36437649753 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    