# 19 22 30 triangle

### Obtuse scalene triangle.

Sides: a = 19   b = 22   c = 30

Area: T = 208.5477206886
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 39.1954967426° = 39°11'42″ = 0.68440812318 rad
Angle ∠ B = β = 47.0332848889° = 47°1'58″ = 0.82108780697 rad
Angle ∠ C = γ = 93.77221836851° = 93°46'20″ = 1.63766333521 rad

Height: ha = 21.9522337567
Height: hb = 18.95988369896
Height: hc = 13.90331471257

Median: ma = 24.53105931441
Median: mb = 22.57221066806
Median: mc = 14.05334693226

Inradius: r = 5.87545692081
Circumradius: R = 15.03325676705

Vertex coordinates: A[30; 0] B[0; 0] C[12.95; 13.90331471257]
Centroid: CG[14.31766666667; 4.63443823752]
Coordinates of the circumscribed circle: U[15; -0.98989847152]
Coordinates of the inscribed circle: I[13.5; 5.87545692081]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 140.8055032574° = 140°48'18″ = 0.68440812318 rad
∠ B' = β' = 132.9677151111° = 132°58'2″ = 0.82108780697 rad
∠ C' = γ' = 86.22878163149° = 86°13'40″ = 1.63766333521 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.