# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 13   b = 27   c = 29

Area: T = 174.9210517665
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 26.53882846718° = 26°32'18″ = 0.46331804454 rad
Angle ∠ B = β = 68.11990638941° = 68°7'9″ = 1.18989019483 rad
Angle ∠ C = γ = 85.34326514341° = 85°20'34″ = 1.49895102599 rad

Height: ha = 26.91108488715
Height: hb = 12.95770753826
Height: hc = 12.06334839769

Median: ma = 27.25334401498
Median: mb = 17.96552442232
Median: mc = 15.45215371404

Inradius: r = 5.07701599323
Circumradius: R = 14.54880360679

Vertex coordinates: A[29; 0] B[0; 0] C[4.84548275862; 12.06334839769]
Centroid: CG[11.28216091954; 4.02111613256]
Coordinates of the circumscribed circle: U[14.5; 1.18112507918]
Coordinates of the inscribed circle: I[7.5; 5.07701599323]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.4621715328° = 153°27'42″ = 0.46331804454 rad
∠ B' = β' = 111.8810936106° = 111°52'51″ = 1.18989019483 rad
∠ C' = γ' = 94.65773485659° = 94°39'26″ = 1.49895102599 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    