# 8 26 29 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 26   c = 29

Area: T = 100.8888242625
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 15.52219825604° = 15°31'19″ = 0.27109097021 rad
Angle ∠ B = β = 60.42768411792° = 60°25'37″ = 1.05546473352 rad
Angle ∠ C = γ = 104.051117626° = 104°3'4″ = 1.81660356163 rad

Height: ha = 25.22220606563
Height: hb = 7.76106340481
Height: hc = 6.95878098362

Median: ma = 27.24988531869
Median: mb = 16.83774582405
Median: mc = 12.63992246598

Inradius: r = 3.20328013532
Circumradius: R = 14.94772323113

Vertex coordinates: A[29; 0] B[0; 0] C[3.94882758621; 6.95878098362]
Centroid: CG[10.98327586207; 2.31992699454]
Coordinates of the circumscribed circle: U[14.5; -3.62990155371]
Coordinates of the inscribed circle: I[5.5; 3.20328013532]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.478801744° = 164°28'41″ = 0.27109097021 rad
∠ B' = β' = 119.5733158821° = 119°34'23″ = 1.05546473352 rad
∠ C' = γ' = 75.94988237396° = 75°56'56″ = 1.81660356163 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    