# 14 28 30 triangle

### Acute scalene triangle.

Sides: a = 14   b = 28   c = 30

Area: T = 194.9776921711
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 27.66604498993° = 27°39'38″ = 0.48327659233 rad
Angle ∠ B = β = 68.19662520106° = 68°11'47″ = 1.19902491351 rad
Angle ∠ C = γ = 84.14332980901° = 84°8'36″ = 1.46985775952 rad

Height: ha = 27.85438459588
Height: hb = 13.92769229794
Height: hc = 12.99884614474

Median: ma = 28.16602556807
Median: mb = 18.76216630393
Median: mc = 16.27988205961

Inradius: r = 5.41660256031
Circumradius: R = 15.0798707645

Vertex coordinates: A[30; 0] B[0; 0] C[5.2; 12.99884614474]
Centroid: CG[11.73333333333; 4.33328204825]
Coordinates of the circumscribed circle: U[15; 1.53986436372]
Coordinates of the inscribed circle: I[8; 5.41660256031]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.3439550101° = 152°20'22″ = 0.48327659233 rad
∠ B' = β' = 111.8043747989° = 111°48'13″ = 1.19902491351 rad
∠ C' = γ' = 95.85767019099° = 95°51'24″ = 1.46985775952 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.