# 11 28 29 triangle

### Acute scalene triangle.

Sides: a = 11   b = 28   c = 29

Area: T = 153.1676575988
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 22.16439137383° = 22°9'50″ = 0.38768332699 rad
Angle ∠ B = β = 73.879965638° = 73°47'59″ = 1.28880469907 rad
Angle ∠ C = γ = 84.03664298817° = 84°2'11″ = 1.46767123931 rad

Height: ha = 27.84884683615
Height: hb = 10.94404697135
Height: hc = 10.56332121371

Median: ma = 27.96987325419
Median: mb = 16.88219430161
Median: mc = 15.56443824163

Inradius: r = 4.50548992938
Circumradius: R = 14.5798898729

Vertex coordinates: A[29; 0] B[0; 0] C[3.06989655172; 10.56332121371]
Centroid: CG[10.69896551724; 3.52110707124]
Coordinates of the circumscribed circle: U[14.5; 1.5154690777]
Coordinates of the inscribed circle: I[6; 4.50548992938]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.8366086262° = 157°50'10″ = 0.38768332699 rad
∠ B' = β' = 106.220034362° = 106°12'1″ = 1.28880469907 rad
∠ C' = γ' = 95.96435701183° = 95°57'49″ = 1.46767123931 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    