# 16 22 30 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 22   c = 30

Area: T = 171.3944282285
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 31.29904452139° = 31°17'26″ = 0.54661212934 rad
Angle ∠ B = β = 45.57329959992° = 45°34'23″ = 0.79553988302 rad
Angle ∠ C = γ = 103.1376558787° = 103°8'12″ = 1.880007253 rad

Height: ha = 21.42442852856
Height: hb = 15.58112983895
Height: hc = 11.42662854857

Median: ma = 25.06599281723
Median: mb = 21.37875583264
Median: mc = 12.04215945788

Inradius: r = 5.04110083025
Circumradius: R = 15.40330809243

Vertex coordinates: A[30; 0] B[0; 0] C[11.2; 11.42662854857]
Centroid: CG[13.73333333333; 3.80987618286]
Coordinates of the circumscribed circle: U[15; -3.50107002101]
Coordinates of the inscribed circle: I[12; 5.04110083025]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.7109554786° = 148°42'34″ = 0.54661212934 rad
∠ B' = β' = 134.4277004001° = 134°25'37″ = 0.79553988302 rad
∠ C' = γ' = 76.86334412131° = 76°51'48″ = 1.880007253 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.