# 13 14 22 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 14   c = 22

Area: T = 865.9996366271
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 33.9487926527° = 33°56'53″ = 0.59325030921 rad
Angle ∠ B = β = 36.97699486694° = 36°58'12″ = 0.64552473286 rad
Angle ∠ C = γ = 109.0822124804° = 109°4'56″ = 1.90438422329 rad

Height: ha = 13.23107133273
Height: hb = 12.28656623753
Height: hc = 7.81881487843

Median: ma = 17.25554339267
Median: mb = 16.6588331249
Median: mc = 7.84221935707

Inradius: r = 3.51101892501
Circumradius: R = 11.64395840641

Vertex coordinates: A[22; 0] B[0; 0] C[10.38663636364; 7.81881487843]
Centroid: CG[10.79554545455; 2.60660495948]
Coordinates of the circumscribed circle: U[11; -3.80552486363]
Coordinates of the inscribed circle: I[10.5; 3.51101892501]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.0522073473° = 146°3'7″ = 0.59325030921 rad
∠ B' = β' = 143.0330051331° = 143°1'48″ = 0.64552473286 rad
∠ C' = γ' = 70.91878751964° = 70°55'4″ = 1.90438422329 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.