# 16 20 30 triangle

### Obtuse scalene triangle.

Sides: a = 16   b = 20   c = 30

Area: T = 147.9165516427
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 29.54113605001° = 29°32'29″ = 0.51655940062 rad
Angle ∠ B = β = 38.04875074536° = 38°2'51″ = 0.66440542772 rad
Angle ∠ C = γ = 112.4111132046° = 112°24'40″ = 1.96219443701 rad

Height: ha = 18.48994395534
Height: hb = 14.79215516427
Height: hc = 9.86110344285

Median: ma = 24.20774368738
Median: mb = 21.86332111091
Median: mc = 10.14988915651

Inradius: r = 4.48222883766
Circumradius: R = 16.22554782863

Vertex coordinates: A[30; 0] B[0; 0] C[12.6; 9.86110344285]
Centroid: CG[14.2; 3.28770114762]
Coordinates of the circumscribed circle: U[15; -6.18659635967]
Coordinates of the inscribed circle: I[13; 4.48222883766]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.45986395° = 150°27'31″ = 0.51655940062 rad
∠ B' = β' = 141.9522492546° = 141°57'9″ = 0.66440542772 rad
∠ C' = γ' = 67.58988679538° = 67°35'20″ = 1.96219443701 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.