# 6 14 14 triangle

### Acute isosceles triangle.

Sides: a = 6   b = 14   c = 14

Area: T = 41.02443829935
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 24.74772502324° = 24°44'50″ = 0.43219209974 rad
Angle ∠ B = β = 77.62663748838° = 77°37'35″ = 1.35548358281 rad
Angle ∠ C = γ = 77.62663748838° = 77°37'35″ = 1.35548358281 rad

Height: ha = 13.67547943312
Height: hb = 5.86106261419
Height: hc = 5.86106261419

Median: ma = 13.67547943312
Median: mb = 8.18553527719
Median: mc = 8.18553527719

Inradius: r = 2.41331989996
Circumradius: R = 7.16664697564

Vertex coordinates: A[14; 0] B[0; 0] C[1.28657142857; 5.86106261419]
Centroid: CG[5.09552380952; 1.95435420473]
Coordinates of the circumscribed circle: U[7; 1.53656720907]
Coordinates of the inscribed circle: I[3; 2.41331989996]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.2532749768° = 155°15'10″ = 0.43219209974 rad
∠ B' = β' = 102.3743625116° = 102°22'25″ = 1.35548358281 rad
∠ C' = γ' = 102.3743625116° = 102°22'25″ = 1.35548358281 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.