# 11 23 29 triangle

### 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?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 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    