# 22 26 29 triangle

### Acute scalene triangle.

Sides: a = 22   b = 26   c = 29

Area: T = 274.6566034887
Perimeter: p = 77
Semiperimeter: s = 38.5

Angle ∠ A = α = 46.76333498139° = 46°45'48″ = 0.81661744235 rad
Angle ∠ B = β = 59.42880018247° = 59°25'41″ = 1.03772142997 rad
Angle ∠ C = γ = 73.80986483614° = 73°48'31″ = 1.28882039304 rad

Height: ha = 24.96987304443
Height: hb = 21.1277387299
Height: hc = 18.94217955095

Median: ma = 25.24987623459
Median: mb = 22.21548598915
Median: mc = 19.2298884523

Inradius: r = 7.13439229841
Circumradius: R = 15.09988854175

Vertex coordinates: A[29; 0] B[0; 0] C[11.19896551724; 18.94217955095]
Centroid: CG[13.39765517241; 6.31439318365]
Coordinates of the circumscribed circle: U[14.5; 4.2110266126]
Coordinates of the inscribed circle: I[12.5; 7.13439229841]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.2376650186° = 133°14'12″ = 0.81661744235 rad
∠ B' = β' = 120.5721998175° = 120°34'19″ = 1.03772142997 rad
∠ C' = γ' = 106.1911351639° = 106°11'29″ = 1.28882039304 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    