Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 11   b = 23   c = 29

Area: T = 117.1421741066
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 20.5643765192° = 20°33'50″ = 0.35989054092 rad
Angle ∠ B = β = 47.25991563765° = 47°15'33″ = 0.82548278805 rad
Angle ∠ C = γ = 112.1777078431° = 112°10'37″ = 1.95878593639 rad

Height: ha = 21.29884983757
Height: hb = 10.18662383536
Height: hc = 8.07987407632

Median: ma = 25.58880831638
Median: mb = 18.6754849397
Median: mc = 10.71221426428

Inradius: r = 3.71987854307
Circumradius: R = 15.65883808923

Vertex coordinates: A[29; 0] B[0; 0] C[7.46655172414; 8.07987407632]
Centroid: CG[12.15551724138; 2.69329135877]
Coordinates of the circumscribed circle: U[14.5; -5.91105746056]
Coordinates of the inscribed circle: I[8.5; 3.71987854307]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 159.4366234808° = 159°26'10″ = 0.35989054092 rad
∠ B' = β' = 132.7410843623° = 132°44'27″ = 0.82548278805 rad
∠ C' = γ' = 67.82329215686° = 67°49'23″ = 1.95878593639 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     