# 16 27 30 triangle

### Acute scalene triangle.

Sides: a = 16   b = 27   c = 30

Area: T = 214.9522174913
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 32.05658804061° = 32°3'21″ = 0.55994806577 rad
Angle ∠ B = β = 63.59899895686° = 63°35'24″ = 1.11098546893 rad
Angle ∠ C = γ = 84.35441300253° = 84°21'15″ = 1.47222573066 rad

Height: ha = 26.86990218642
Height: hb = 15.92223833269
Height: hc = 14.33301449942

Median: ma = 27.39552550636
Median: mb = 19.89334662641
Median: mc = 16.35554272338

Inradius: r = 5.88991006826
Circumradius: R = 15.07331203409

Vertex coordinates: A[30; 0] B[0; 0] C[7.11766666667; 14.33301449942]
Centroid: CG[12.37222222222; 4.77767149981]
Coordinates of the circumscribed circle: U[15; 1.48328879965]
Coordinates of the inscribed circle: I[9.5; 5.88991006826]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.9444119594° = 147°56'39″ = 0.55994806577 rad
∠ B' = β' = 116.4110010431° = 116°24'36″ = 1.11098546893 rad
∠ C' = γ' = 95.64658699747° = 95°38'45″ = 1.47222573066 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.