10 13 22 triangle
Obtuse scalene triangle.
Sides: a = 10 b = 13 c = 22Area: T = 36.5550478793
Perimeter: p = 45
Semiperimeter: s = 22.5
Angle ∠ A = α = 14.80990077489° = 14°48'32″ = 0.25884659442 rad
Angle ∠ B = β = 19.40770433824° = 19°24'25″ = 0.33987168051 rad
Angle ∠ C = γ = 145.7843948869° = 145°47'2″ = 2.54444099043 rad
Height: ha = 7.31100957586
Height: hb = 5.62331505835
Height: hc = 3.32327707994
Median: ma = 17.36437553542
Median: mb = 15.80334806293
Median: mc = 3.67442346142
Inradius: r = 1.62444657241
Circumradius: R = 19.56219872464
Vertex coordinates: A[22; 0] B[0; 0] C[9.43218181818; 3.32327707994]
Centroid: CG[10.47772727273; 1.10875902665]
Coordinates of the circumscribed circle: U[11; -16.17662586845]
Coordinates of the inscribed circle: I[9.5; 1.62444657241]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.1910992251° = 165°11'28″ = 0.25884659442 rad
∠ B' = β' = 160.5932956618° = 160°35'35″ = 0.33987168051 rad
∠ C' = γ' = 34.21660511313° = 34°12'58″ = 2.54444099043 rad
Calculate another triangle
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
