# 15 19 19 triangle

### Acute isosceles triangle.

Sides: a = 15   b = 19   c = 19

Area: T = 130.9288176876
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 46.49991251812° = 46°29'57″ = 0.81215628337 rad
Angle ∠ B = β = 66.75504374094° = 66°45'2″ = 1.16550149099 rad
Angle ∠ C = γ = 66.75504374094° = 66°45'2″ = 1.16550149099 rad

Height: ha = 17.45770902501
Height: hb = 13.78219133553
Height: hc = 13.78219133553

Median: ma = 17.45770902501
Median: mb = 14.23990308659
Median: mc = 14.23990308659

Inradius: r = 4.94106859198
Circumradius: R = 10.34396383598

Vertex coordinates: A[19; 0] B[0; 0] C[5.92110526316; 13.78219133553]
Centroid: CG[8.30770175439; 4.59439711184]
Coordinates of the circumscribed circle: U[9.5; 4.08114361946]
Coordinates of the inscribed circle: I[7.5; 4.94106859198]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.5010874819° = 133°30'3″ = 0.81215628337 rad
∠ B' = β' = 113.2549562591° = 113°14'58″ = 1.16550149099 rad
∠ C' = γ' = 113.2549562591° = 113°14'58″ = 1.16550149099 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.