# 13 22 29 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 22   c = 29

Area: T = 135.0565544129
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 25.04876351928° = 25°2'52″ = 0.4377163704 rad
Angle ∠ B = β = 45.7644214424° = 45°45'51″ = 0.79987362213 rad
Angle ∠ C = γ = 109.1888150383° = 109°11'17″ = 1.90656927284 rad

Height: ha = 20.77877760199
Height: hb = 12.2787776739
Height: hc = 9.31441754572

Median: ma = 24.90548188108
Median: mb = 19.59659179423
Median: mc = 10.78219293264

Inradius: r = 4.2220485754
Circumradius: R = 15.35329424754

Vertex coordinates: A[29; 0] B[0; 0] C[9.06989655172; 9.31441754572]
Centroid: CG[12.69896551724; 3.10547251524]
Coordinates of the circumscribed circle: U[14.5; -5.04660720024]
Coordinates of the inscribed circle: I[10; 4.2220485754]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.9522364807° = 154°57'8″ = 0.4377163704 rad
∠ B' = β' = 134.2365785576° = 134°14'9″ = 0.79987362213 rad
∠ C' = γ' = 70.81218496167° = 70°48'43″ = 1.90656927284 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    