# 9 19 22 triangle

### Obtuse scalene triangle.

Sides: a = 9   b = 19   c = 22

Area: T = 84.85328137424
Perimeter: p = 50
Semiperimeter: s = 25

Angle ∠ A = α = 23.95334516247° = 23°57'12″ = 0.41880665981 rad
Angle ∠ B = β = 58.99224169931° = 58°59'33″ = 1.03296119102 rad
Angle ∠ C = γ = 97.05441313821° = 97°3'15″ = 1.69439141453 rad

Height: ha = 18.85661808316
Height: hb = 8.93218751308
Height: hc = 7.71438921584

Median: ma = 20.05661711201
Median: mb = 13.86554246239
Median: mc = 10

Inradius: r = 3.39441125497
Circumradius: R = 11.08438987951

Vertex coordinates: A[22; 0] B[0; 0] C[4.63663636364; 7.71438921584]
Centroid: CG[8.87987878788; 2.57112973861]
Coordinates of the circumscribed circle: U[11; -1.36111805538]
Coordinates of the inscribed circle: I[6; 3.39441125497]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.0476548375° = 156°2'48″ = 0.41880665981 rad
∠ B' = β' = 121.0087583007° = 121°27″ = 1.03296119102 rad
∠ C' = γ' = 82.94658686179° = 82°56'45″ = 1.69439141453 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    