# 13 24 29 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 24   c = 29

Area: T = 154.1432790944
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 26.29215552747° = 26°17'30″ = 0.4598874205 rad
Angle ∠ B = β = 54.85985616268° = 54°51'31″ = 0.95774625233 rad
Angle ∠ C = γ = 98.85498830984° = 98°51' = 1.72552559253 rad

Height: ha = 23.71442755298
Height: hb = 12.84552325787
Height: hc = 10.63105373065

Median: ma = 25.81218189983
Median: mb = 19
Median: mc = 12.73877392029

Inradius: r = 4.6710993665
Circumradius: R = 14.67547050974

Vertex coordinates: A[29; 0] B[0; 0] C[7.48327586207; 10.63105373065]
Centroid: CG[12.16109195402; 3.54435124355]
Coordinates of the circumscribed circle: U[14.5; -2.25876469381]
Coordinates of the inscribed circle: I[9; 4.6710993665]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.7088444725° = 153°42'30″ = 0.4598874205 rad
∠ B' = β' = 125.1411438373° = 125°8'29″ = 0.95774625233 rad
∠ C' = γ' = 81.15501169016° = 81°9' = 1.72552559253 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    