# 14 15 18 triangle

### Acute scalene triangle.

Sides: a = 14   b = 15   c = 18

Area: T = 102.1611330747
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 49.17985691625° = 49°10'43″ = 0.85883279533 rad
Angle ∠ B = β = 54.17545797066° = 54°10'28″ = 0.94655247868 rad
Angle ∠ C = γ = 76.64768511309° = 76°38'49″ = 1.33877399135 rad

Height: ha = 14.5944475821
Height: hb = 13.62215107663
Height: hc = 11.35112589719

Median: ma = 15.01766574177
Median: mb = 14.27441024236
Median: mc = 11.38798066767

Inradius: r = 4.34772906701
Circumradius: R = 9.25500752789

Vertex coordinates: A[18; 0] B[0; 0] C[8.19444444444; 11.35112589719]
Centroid: CG[8.73114814815; 3.78437529906]
Coordinates of the circumscribed circle: U[9; 2.13663269096]
Coordinates of the inscribed circle: I[8.5; 4.34772906701]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.8211430838° = 130°49'17″ = 0.85883279533 rad
∠ B' = β' = 125.8255420293° = 125°49'32″ = 0.94655247868 rad
∠ C' = γ' = 103.3533148869° = 103°21'11″ = 1.33877399135 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.