# 10 13 22 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 13   c = 22

Area: 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

# 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.