# 8 19 19 triangle

### Acute isosceles triangle.

Sides: a = 8   b = 19   c = 19

Area: T = 74.2976702484
Perimeter: p = 46
Semiperimeter: s = 23

Angle ∠ A = α = 24.3066394938° = 24°18'23″ = 0.4244226621 rad
Angle ∠ B = β = 77.8476802531° = 77°50'48″ = 1.35986830163 rad
Angle ∠ C = γ = 77.8476802531° = 77°50'48″ = 1.35986830163 rad

Height: ha = 18.5744175621
Height: hb = 7.82107055246
Height: hc = 7.82107055246

Median: ma = 18.5744175621
Median: mb = 11.05766721937
Median: mc = 11.05766721937

Inradius: r = 3.23302914123
Circumradius: R = 9.71877933321

Vertex coordinates: A[19; 0] B[0; 0] C[1.68442105263; 7.82107055246]
Centroid: CG[6.89547368421; 2.60769018415]
Coordinates of the circumscribed circle: U[9.5; 2.04658512278]
Coordinates of the inscribed circle: I[4; 3.23302914123]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155.6943605062° = 155°41'37″ = 0.4244226621 rad
∠ B' = β' = 102.1533197469° = 102°9'12″ = 1.35986830163 rad
∠ C' = γ' = 102.1533197469° = 102°9'12″ = 1.35986830163 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.