Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 12.17   b = 12.53   c = 10.82

Area: T = 60.02985653842
Perimeter: p = 35.52
Semiperimeter: s = 17.76

Angle ∠ A = α = 62.31884107128° = 62°19'6″ = 1.08876614515 rad
Angle ∠ B = β = 65.74766651458° = 65°44'48″ = 1.1477495779 rad
Angle ∠ C = γ = 51.93549241414° = 51°56'6″ = 0.9066435423 rad

Height: ha = 9.86550066367
Height: hb = 9.58215746822
Height: hc = 11.09658531209

Median: ma = 100.0004712389
Median: mb = 9.66112848524
Median: mc = 11.10334589205

Inradius: r = 3.38799867896
Circumradius: R = 6.87114905622

Vertex coordinates: A[10.82; 0] B[0; 0] C[4.99990942699; 11.09658531209]
Centroid: CG[5.27330314233; 3.6998617707]
Coordinates of the circumscribed circle: U[5.41; 4.23766593616]
Coordinates of the inscribed circle: I[5.23; 3.38799867896]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 117.6821589287° = 117°40'54″ = 1.08876614515 rad
∠ B' = β' = 114.2533334854° = 114°15'12″ = 1.1477495779 rad
∠ C' = γ' = 128.0655075859° = 128°3'54″ = 0.9066435423 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     