Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 27

Area: T = 102.7422396312
Perimeter: p = 58
Semiperimeter: s = 29

Angle ∠ A = α = 28.40222819014° = 28°24'8″ = 0.49657133343 rad
Angle ∠ B = β = 30.48987955881° = 30°29'20″ = 0.5322129868 rad
Angle ∠ C = γ = 121.1098922511° = 121°6'32″ = 2.11437494514 rad

Height: ha = 13.6998986175
Height: hb = 12.8432799539
Height: hc = 7.6110547875

Median: ma = 20.88765985742
Median: mb = 20.32224014329
Median: mc = 7.63221687612

Inradius: r = 3.54328412521
Circumradius: R = 15.76875901881

Vertex coordinates: A[27; 0] B[0; 0] C[12.92659259259; 7.6110547875]
Centroid: CG[13.30986419753; 2.53768492917]
Coordinates of the circumscribed circle: U[13.5; -8.14765882639]
Coordinates of the inscribed circle: I[13; 3.54328412521]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.5987718099° = 151°35'52″ = 0.49657133343 rad
∠ B' = β' = 149.5111204412° = 149°30'40″ = 0.5322129868 rad
∠ C' = γ' = 58.89110774895° = 58°53'28″ = 2.11437494514 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     