# 18 24 27 triangle

### Acute scalene triangle.

Sides: a = 18   b = 24   c = 27

Area: T = 211.7277271508
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 40.80444376906° = 40°48'16″ = 0.71221717871 rad
Angle ∠ B = β = 60.61107200521° = 60°36'39″ = 1.05878566269 rad
Angle ∠ C = γ = 78.58548422573° = 78°35'5″ = 1.37215642395 rad

Height: ha = 23.52552523897
Height: hb = 17.64439392923
Height: hc = 15.68435015931

Median: ma = 23.90660661758
Median: mb = 19.55876072156
Median: mc = 16.3633068172

Inradius: r = 6.13770223625
Circumradius: R = 13.77224346006

Vertex coordinates: A[27; 0] B[0; 0] C[8.83333333333; 15.68435015931]
Centroid: CG[11.94444444444; 5.22878338644]
Coordinates of the circumscribed circle: U[13.5; 2.7265794348]
Coordinates of the inscribed circle: I[10.5; 6.13770223625]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.1965562309° = 139°11'44″ = 0.71221717871 rad
∠ B' = β' = 119.3899279948° = 119°23'21″ = 1.05878566269 rad
∠ C' = γ' = 101.4155157743° = 101°24'55″ = 1.37215642395 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.