# 7 19 22 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 19   c = 22

Area: T = 63.87548776907
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 17.79655541818° = 17°47'44″ = 0.31105910127 rad
Angle ∠ B = β = 56.05219105004° = 56°3'7″ = 0.97882903903 rad
Angle ∠ C = γ = 106.1532535318° = 106°9'9″ = 1.85327112506 rad

Height: ha = 18.25499650545
Height: hb = 6.72436713359
Height: hc = 5.80768070628

Median: ma = 20.25546291005
Median: mb = 13.27659180474
Median: mc = 9.16551513899

Inradius: r = 2.66114532371
Circumradius: R = 11.45220767232

Vertex coordinates: A[22; 0] B[0; 0] C[3.90990909091; 5.80768070628]
Centroid: CG[8.63663636364; 1.93656023543]
Coordinates of the circumscribed circle: U[11; -3.18659160809]
Coordinates of the inscribed circle: I[5; 2.66114532371]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.2044445818° = 162°12'16″ = 0.31105910127 rad
∠ B' = β' = 123.94880895° = 123°56'53″ = 0.97882903903 rad
∠ C' = γ' = 73.84774646822° = 73°50'51″ = 1.85327112506 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.