# 27 28 30 triangle

### Acute scalene triangle.

Sides: a = 27   b = 28   c = 30

Area: T = 345.5410789922
Perimeter: p = 85
Semiperimeter: s = 42.5

Angle ∠ A = α = 55.3587624069° = 55°21'27″ = 0.96661728061 rad
Angle ∠ B = β = 58.56600307183° = 58°33'36″ = 1.02220653461 rad
Angle ∠ C = γ = 66.08223452127° = 66°4'56″ = 1.15333545014 rad

Height: ha = 25.59656140683
Height: hb = 24.68114849944
Height: hc = 23.03660526615

Median: ma = 25.68655990781
Median: mb = 24.87696602309
Median: mc = 23.05442837668

Inradius: r = 8.13303715276
Circumradius: R = 16.40990612899

Vertex coordinates: A[30; 0] B[0; 0] C[14.08333333333; 23.03660526615]
Centroid: CG[14.69444444444; 7.67986842205]
Coordinates of the circumscribed circle: U[15; 6.65326154568]
Coordinates of the inscribed circle: I[14.5; 8.13303715276]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 124.6422375931° = 124°38'33″ = 0.96661728061 rad
∠ B' = β' = 121.4439969282° = 121°26'24″ = 1.02220653461 rad
∠ C' = γ' = 113.9187654787° = 113°55'4″ = 1.15333545014 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.