# Triangle calculator SSS - result

Please enter the triangle sides:

### Obtuse scalene triangle.

Sides: a = 5   b = 21   c = 23

Area: T = 50.08218080744
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 11.96987455547° = 11°58'8″ = 0.20988940173 rad
Angle ∠ B = β = 60.57436513216° = 60°34'25″ = 1.05772096555 rad
Angle ∠ C = γ = 107.4587603124° = 107°27'27″ = 1.87554889808 rad

Height: ha = 20.03327232298
Height: hb = 4.77696960071
Height: hc = 4.35549398326

Median: ma = 21.8880356487
Median: mb = 12.91331715701
Median: mc = 10.03774299499

Inradius: r = 2.04441554316
Circumradius: R = 12.05552756223

Vertex coordinates: A[23; 0] B[0; 0] C[2.45765217391; 4.35549398326]
Centroid: CG[8.48655072464; 1.45216466109]
Coordinates of the circumscribed circle: U[11.5; -3.61765826867]
Coordinates of the inscribed circle: I[3.5; 2.04441554316]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.0311254445° = 168°1'53″ = 0.20988940173 rad
∠ B' = β' = 119.4266348678° = 119°25'35″ = 1.05772096555 rad
∠ C' = γ' = 72.54223968763° = 72°32'33″ = 1.87554889808 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    