# 15 19 22 triangle

### Acute scalene triangle.

Sides: a = 15   b = 19   c = 22

Area: T = 140.2199857347
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 42.13298215282° = 42°7'47″ = 0.73553040989 rad
Angle ∠ B = β = 58.17986314749° = 58°10'43″ = 1.01554086735 rad
Angle ∠ C = γ = 79.69215469969° = 79°41'30″ = 1.39108798811 rad

Height: ha = 18.69333143129
Height: hb = 14.75878797207
Height: hc = 12.7455441577

Median: ma = 19.1387659209
Median: mb = 16.2565768207
Median: mc = 13.11548770486

Inradius: r = 5.00771377624
Circumradius: R = 11.18804678668

Vertex coordinates: A[22; 0] B[0; 0] C[7.90990909091; 12.7455441577]
Centroid: CG[9.97696969697; 4.24884805257]
Coordinates of the circumscribed circle: U[11; 2.00107153025]
Coordinates of the inscribed circle: I[9; 5.00771377624]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.8770178472° = 137°52'13″ = 0.73553040989 rad
∠ B' = β' = 121.8211368525° = 121°49'17″ = 1.01554086735 rad
∠ C' = γ' = 100.3088453003° = 100°18'30″ = 1.39108798811 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.