# 19 19 26 triangle

### Acute isosceles triangle.

Sides: a = 19   b = 19   c = 26

Area: T = 180.1333283987
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 46.82664488927° = 46°49'35″ = 0.81772757102 rad
Angle ∠ B = β = 46.82664488927° = 46°49'35″ = 0.81772757102 rad
Angle ∠ C = γ = 86.34771022145° = 86°20'50″ = 1.50770412332 rad

Height: ha = 18.96113983144
Height: hb = 18.96113983144
Height: hc = 13.85664064606

Median: ma = 20.69442020866
Median: mb = 20.69442020866
Median: mc = 13.85664064606

Inradius: r = 5.62991651246
Circumradius: R = 13.02664654486

Vertex coordinates: A[26; 0] B[0; 0] C[13; 13.85664064606]
Centroid: CG[13; 4.61988021535]
Coordinates of the circumscribed circle: U[13; 0.8329941012]
Coordinates of the inscribed circle: I[13; 5.62991651246]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.1743551107° = 133°10'25″ = 0.81772757102 rad
∠ B' = β' = 133.1743551107° = 133°10'25″ = 0.81772757102 rad
∠ C' = γ' = 93.65328977855° = 93°39'10″ = 1.50770412332 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.