# 12 14 14 triangle

### Acute isosceles triangle.

Sides: a = 12   b = 14   c = 14

Area: T = 75.8954663844
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 50.75438670503° = 50°45'14″ = 0.88658220881 rad
Angle ∠ B = β = 64.62330664748° = 64°37'23″ = 1.12878852827 rad
Angle ∠ C = γ = 64.62330664748° = 64°37'23″ = 1.12878852827 rad

Height: ha = 12.64991106407
Height: hb = 10.84220948349
Height: hc = 10.84220948349

Median: ma = 12.64991106407
Median: mb = 11
Median: mc = 11

Inradius: r = 3.79547331922
Circumradius: R = 7.74875802674

Vertex coordinates: A[14; 0] B[0; 0] C[5.14328571429; 10.84220948349]
Centroid: CG[6.3810952381; 3.61440316116]
Coordinates of the circumscribed circle: U[7; 3.32203915432]
Coordinates of the inscribed circle: I[6; 3.79547331922]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.246613295° = 129°14'46″ = 0.88658220881 rad
∠ B' = β' = 115.3776933525° = 115°22'37″ = 1.12878852827 rad
∠ C' = γ' = 115.3776933525° = 115°22'37″ = 1.12878852827 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.