# 7 26 29 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 26   c = 29

Area: T = 86.25554346114
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 13.22660949708° = 13°13'34″ = 0.23108389044 rad
Angle ∠ B = β = 58.19107096653° = 58°11'27″ = 1.01656194777 rad
Angle ∠ C = γ = 108.5833195364° = 108°35' = 1.89551342714 rad

Height: ha = 24.6444409889
Height: hb = 6.63550334316
Height: hc = 5.94986506629

Median: ma = 27.31875767593
Median: mb = 16.61332477258
Median: mc = 12.33989626793

Inradius: r = 2.78224333746
Circumradius: R = 15.29875868239

Vertex coordinates: A[29; 0] B[0; 0] C[3.69896551724; 5.94986506629]
Centroid: CG[10.89765517241; 1.98328835543]
Coordinates of the circumscribed circle: U[14.5; -4.87550551417]
Coordinates of the inscribed circle: I[5; 2.78224333746]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.7743905029° = 166°46'26″ = 0.23108389044 rad
∠ B' = β' = 121.8099290335° = 121°48'33″ = 1.01656194777 rad
∠ C' = γ' = 71.41768046361° = 71°25' = 1.89551342714 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    