# 14 14 23 triangle

### Obtuse isosceles triangle.

Sides: a = 14   b = 14   c = 23

Area: T = 91.82201366804
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 34.77219440319° = 34°46'19″ = 0.60768849107 rad
Angle ∠ B = β = 34.77219440319° = 34°46'19″ = 0.60768849107 rad
Angle ∠ C = γ = 110.4566111936° = 110°27'22″ = 1.92878228322 rad

Height: ha = 13.11771623829
Height: hb = 13.11771623829
Height: hc = 7.98443597113

Median: ma = 17.70659312096
Median: mb = 17.70659312096
Median: mc = 7.98443597113

Inradius: r = 3.60107896737
Circumradius: R = 12.27439961053

Vertex coordinates: A[23; 0] B[0; 0] C[11.5; 7.98443597113]
Centroid: CG[11.5; 2.66114532371]
Coordinates of the circumscribed circle: U[11.5; -4.29896363939]
Coordinates of the inscribed circle: I[11.5; 3.60107896737]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.2288055968° = 145°13'41″ = 0.60768849107 rad
∠ B' = β' = 145.2288055968° = 145°13'41″ = 0.60768849107 rad
∠ C' = γ' = 69.54438880639° = 69°32'38″ = 1.92878228322 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.