# 11 16 19 triangle

### Acute scalene triangle.

Sides: a = 11   b = 16   c = 19

Area: T = 87.90990439033
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 35.33545017918° = 35°20'4″ = 0.61767033958 rad
Angle ∠ B = β = 57.27107494732° = 57°16'15″ = 10.9995631434 rad
Angle ∠ C = γ = 87.39547487349° = 87°23'41″ = 1.52553261144 rad

Height: ha = 15.98334625279
Height: hb = 10.98986304879
Height: hc = 9.25435835688

Median: ma = 16.68108273176
Median: mb = 13.30441346957
Median: mc = 9.91221138008

Inradius: r = 3.82221323436
Circumradius: R = 9.51098292835

Vertex coordinates: A[19; 0] B[0; 0] C[5.94773684211; 9.25435835688]
Centroid: CG[8.31657894737; 3.08545278563]
Coordinates of the circumscribed circle: U[9.5; 0.43222649674]
Coordinates of the inscribed circle: I[7; 3.82221323436]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 144.6655498208° = 144°39'56″ = 0.61767033958 rad
∠ B' = β' = 122.7299250527° = 122°43'45″ = 10.9995631434 rad
∠ C' = γ' = 92.60552512651° = 92°36'19″ = 1.52553261144 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    