# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 18   b = 20   c = 22

Area: T = 169.7065627485
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 50.47988036414° = 50°28'44″ = 0.8811021326 rad
Angle ∠ B = β = 58.99224169931° = 58°59'33″ = 1.03296119102 rad
Angle ∠ C = γ = 70.52987793655° = 70°31'44″ = 1.23109594173 rad

Height: ha = 18.85661808316
Height: hb = 16.97105627485
Height: hc = 15.42877843168

Median: ma = 19
Median: mb = 17.43655957742
Median: mc = 15.52441746963

Inradius: r = 5.65768542495
Circumradius: R = 11.66772618896

Vertex coordinates: A[22; 0] B[0; 0] C[9.27327272727; 15.42877843168]
Centroid: CG[10.42442424242; 5.14325947723]
Coordinates of the circumscribed circle: U[11; 3.88990872965]
Coordinates of the inscribed circle: I[10; 5.65768542495]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.5211196359° = 129°31'16″ = 0.8811021326 rad
∠ B' = β' = 121.0087583007° = 121°27″ = 1.03296119102 rad
∠ C' = γ' = 109.4711220634° = 109°28'16″ = 1.23109594173 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    