# 27 29 30 triangle

### Acute scalene triangle.

Sides: a = 27   b = 29   c = 30

Area: T = 353.8598728874
Perimeter: p = 86
Semiperimeter: s = 43

Angle ∠ A = α = 54.43661953563° = 54°26'10″ = 0.95500908412 rad
Angle ∠ B = β = 60.8944467291° = 60°53'40″ = 1.06328089505 rad
Angle ∠ C = γ = 64.66993373527° = 64°40'10″ = 1.12986928619 rad

Height: ha = 26.21217576943
Height: hb = 24.40440502671
Height: hc = 23.59105819249

Median: ma = 26.23545192447
Median: mb = 24.58114971066
Median: mc = 23.66443191324

Inradius: r = 8.22992727645
Circumradius: R = 16.59656058755

Vertex coordinates: A[30; 0] B[0; 0] C[13.13333333333; 23.59105819249]
Centroid: CG[14.37877777778; 7.86435273083]
Coordinates of the circumscribed circle: U[15; 7.11002911473]
Coordinates of the inscribed circle: I[14; 8.22992727645]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125.5643804644° = 125°33'50″ = 0.95500908412 rad
∠ B' = β' = 119.1065532709° = 119°6'20″ = 1.06328089505 rad
∠ C' = γ' = 115.3310662647° = 115°19'50″ = 1.12986928619 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.