# 6 19 20 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 19   c = 20

Area: T = 56.99550655759
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 17.45660432733° = 17°27'22″ = 0.30546654295 rad
Angle ∠ B = β = 71.79900431357° = 71°47'24″ = 1.25329726229 rad
Angle ∠ C = γ = 90.7543913591° = 90°45'14″ = 1.58439546012 rad

Height: ha = 18.9988355192
Height: hb = 5.99994805869
Height: hc = 5.76995065576

Median: ma = 19.27443352674
Median: mb = 11.30326545555
Median: mc = 9.92547166206

Inradius: r = 2.53331140256
Circumradius: R = 10.00108657634

Vertex coordinates: A[20; 0] B[0; 0] C[1.875; 5.76995065576]
Centroid: CG[7.29216666667; 1.98998355192]
Coordinates of the circumscribed circle: U[10; -0.1321590339]
Coordinates of the inscribed circle: I[3.5; 2.53331140256]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.5443956727° = 162°32'38″ = 0.30546654295 rad
∠ B' = β' = 108.2109956864° = 108°12'36″ = 1.25329726229 rad
∠ C' = γ' = 89.2466086409° = 89°14'46″ = 1.58439546012 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.