# 15 22 30 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 22   c = 30

Area: T = 157.9439664113
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 28.59443347318° = 28°35'40″ = 0.49990652885 rad
Angle ∠ B = β = 44.58439897257° = 44°35'2″ = 0.77881374144 rad
Angle ∠ C = γ = 106.8221675543° = 106°49'18″ = 1.86443899507 rad

Height: ha = 21.05986218817
Height: hb = 14.3588151283
Height: hc = 10.52993109408

Median: ma = 25.21440833662
Median: mb = 21.01219013895
Median: mc = 11.38798066767

Inradius: r = 4.71546168392
Circumradius: R = 15.6710541114

Vertex coordinates: A[30; 0] B[0; 0] C[10.68333333333; 10.52993109408]
Centroid: CG[13.56111111111; 3.51097703136]
Coordinates of the circumscribed circle: U[15; -4.53549596254]
Coordinates of the inscribed circle: I[11.5; 4.71546168392]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.4065665268° = 151°24'20″ = 0.49990652885 rad
∠ B' = β' = 135.4166010274° = 135°24'58″ = 0.77881374144 rad
∠ C' = γ' = 73.17883244575° = 73°10'42″ = 1.86443899507 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.