# 13 13 14 triangle

### Acute isosceles triangle.

Sides: a = 13   b = 13   c = 14

Area: T = 76.68111580507
Perimeter: p = 40
Semiperimeter: s = 20

Angle ∠ A = α = 57.42110296072° = 57°25'16″ = 1.00221860265 rad
Angle ∠ B = β = 57.42110296072° = 57°25'16″ = 1.00221860265 rad
Angle ∠ C = γ = 65.15879407856° = 65°9'29″ = 1.13772206005 rad

Height: ha = 11.79771012386
Height: hb = 11.79771012386
Height: hc = 10.95444511501

Median: ma = 11.84327192823
Median: mb = 11.84327192823
Median: mc = 10.95444511501

Inradius: r = 3.83440579025
Circumradius: R = 7.71437593515

Vertex coordinates: A[14; 0] B[0; 0] C[7; 10.95444511501]
Centroid: CG[7; 3.65114837167]
Coordinates of the circumscribed circle: U[7; 3.24106917986]
Coordinates of the inscribed circle: I[7; 3.83440579025]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 122.5798970393° = 122°34'44″ = 1.00221860265 rad
∠ B' = β' = 122.5798970393° = 122°34'44″ = 1.00221860265 rad
∠ C' = γ' = 114.8422059214° = 114°50'31″ = 1.13772206005 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.