# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 42   b = 30.04   c = 34.19

Area: T = 507.7532564256
Perimeter: p = 106.23
Semiperimeter: s = 53.115

Angle ∠ A = α = 81.39545868029° = 81°23'41″ = 1.4210603533 rad
Angle ∠ B = β = 45.00664292841° = 45°23″ = 0.78655103756 rad
Angle ∠ C = γ = 53.5998983913° = 53°35'56″ = 0.9355478745 rad

Height: ha = 24.1798693536
Height: hb = 33.80550974871
Height: hc = 29.70218171545

Median: ma = 24.38660380136
Median: mb = 35.22660933116
Median: mc = 32.26439392356

Inradius: r = 9.55994947615
Circumradius: R = 21.23991045544

Vertex coordinates: A[34.19; 0] B[0; 0] C[29.69551520913; 29.70218171545]
Centroid: CG[21.29550506971; 9.90106057182]
Coordinates of the circumscribed circle: U[17.095; 12.60439889429]
Coordinates of the inscribed circle: I[23.075; 9.55994947615]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 98.60554131971° = 98°36'19″ = 1.4210603533 rad
∠ B' = β' = 134.9943570716° = 134°59'37″ = 0.78655103756 rad
∠ C' = γ' = 126.4011016087° = 126°24'4″ = 0.9355478745 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    