# 8 15 22 triangle

### Obtuse scalene triangle.

Sides: a = 8   b = 15   c = 22

Area: T = 34.97876714491
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 12.23987557679° = 12°14'20″ = 0.21436065845 rad
Angle ∠ B = β = 23.42203319282° = 23°25'13″ = 0.40987619041 rad
Angle ∠ C = γ = 144.3410912304° = 144°20'27″ = 2.5199224165 rad

Height: ha = 8.74444178623
Height: hb = 4.66436895265
Height: hc = 3.18797883136

Median: ma = 18.3988369493
Median: mb = 14.75663545634
Median: mc = 4.84876798574

Inradius: r = 1.55545631755
Circumradius: R = 18.86991806131

Vertex coordinates: A[22; 0] B[0; 0] C[7.34109090909; 3.18797883136]
Centroid: CG[9.78803030303; 1.06599294379]
Coordinates of the circumscribed circle: U[11; -15.33112092482]
Coordinates of the inscribed circle: I[7.5; 1.55545631755]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 167.7611244232° = 167°45'40″ = 0.21436065845 rad
∠ B' = β' = 156.5879668072° = 156°34'47″ = 0.40987619041 rad
∠ C' = γ' = 35.65990876961° = 35°39'33″ = 2.5199224165 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.