# 3 17 19 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 17   c = 19

Area: T = 20.05546129357
Perimeter: p = 39
Semiperimeter: s = 19.5

Angle ∠ A = α = 7.1333240874° = 7°8' = 0.12444985396 rad
Angle ∠ B = β = 44.72222460248° = 44°43'20″ = 0.7810550442 rad
Angle ∠ C = γ = 128.1454513101° = 128°8'40″ = 2.2376543672 rad

Height: ha = 13.37697419571
Height: hb = 2.35993662277
Height: hc = 2.1111011888

Median: ma = 17.96552442232
Median: mb = 10.61883802908
Median: mc = 7.66548548584

Inradius: r = 1.0288441689
Circumradius: R = 12.08795151109

Vertex coordinates: A[19; 0] B[0; 0] C[2.13215789474; 2.1111011888]
Centroid: CG[7.04438596491; 0.70436706293]
Coordinates of the circumscribed circle: U[9.5; -7.46108769803]
Coordinates of the inscribed circle: I[2.5; 1.0288441689]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 172.8676759126° = 172°52' = 0.12444985396 rad
∠ B' = β' = 135.2787753975° = 135°16'40″ = 0.7810550442 rad
∠ C' = γ' = 51.85554868988° = 51°51'20″ = 2.2376543672 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.