Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 5   b = 23   c = 27

Area: T = 37.31220288915
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 6.90217733189° = 6°54'6″ = 0.12204586686 rad
Angle ∠ B = β = 33.55773097619° = 33°33'26″ = 0.58656855435 rad
Angle ∠ C = γ = 139.5410916919° = 139°32'27″ = 2.43554484415 rad

Height: ha = 14.92548115566
Height: hb = 3.24545242514
Height: hc = 2.7643853992

Median: ma = 24.95549594269
Median: mb = 15.64444878472
Median: mc = 9.7343961167

Inradius: r = 1.35768010506
Circumradius: R = 20.80442827759

Vertex coordinates: A[27; 0] B[0; 0] C[4.16766666667; 2.7643853992]
Centroid: CG[10.38988888889; 0.9211284664]
Coordinates of the circumscribed circle: U[13.5; -15.82993455903]
Coordinates of the inscribed circle: I[4.5; 1.35768010506]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.0988226681° = 173°5'54″ = 0.12204586686 rad
∠ B' = β' = 146.4432690238° = 146°26'34″ = 0.58656855435 rad
∠ C' = γ' = 40.45990830808° = 40°27'33″ = 2.43554484415 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     