# 9 16 19 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 16   c = 19

Area: T = 71.75495644586
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 28.16765785968° = 28°10' = 0.49215995355 rad
Angle ∠ B = β = 57.0533229556° = 57°3'12″ = 0.99657667046 rad
Angle ∠ C = γ = 94.78801918472° = 94°46'49″ = 1.65442264134 rad

Height: ha = 15.94443476575
Height: hb = 8.96986955573
Height: hc = 7.55325857325

Median: ma = 16.97879268463
Median: mb = 12.53299640861
Median: mc = 8.84659030065

Inradius: r = 3.2611343839
Circumradius: R = 9.53331589141

Vertex coordinates: A[19; 0] B[0; 0] C[4.89547368421; 7.55325857325]
Centroid: CG[7.96549122807; 2.51875285775]
Coordinates of the circumscribed circle: U[9.5; -0.79444299095]
Coordinates of the inscribed circle: I[6; 3.2611343839]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.8333421403° = 151°50' = 0.49215995355 rad
∠ B' = β' = 122.9476770444° = 122°56'48″ = 0.99657667046 rad
∠ C' = γ' = 85.22198081528° = 85°13'11″ = 1.65442264134 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.