# 5 19 19 triangle

### Acute isosceles triangle.

Sides: a = 5   b = 19   c = 19

Area: T = 47.08770205046
Perimeter: p = 43
Semiperimeter: s = 21.5

Angle ∠ A = α = 15.12216863533° = 15°7'18″ = 0.26439232153 rad
Angle ∠ B = β = 82.43991568233° = 82°26'21″ = 1.43988347191 rad
Angle ∠ C = γ = 82.43991568233° = 82°26'21″ = 1.43988347191 rad

Height: ha = 18.83548082018
Height: hb = 4.95765284742
Height: hc = 4.95765284742

Median: ma = 18.83548082018
Median: mb = 10.13765674664
Median: mc = 10.13765674664

Inradius: r = 2.1990093977
Circumradius: R = 9.58333203113

Vertex coordinates: A[19; 0] B[0; 0] C[0.65878947368; 4.95765284742]
Centroid: CG[6.55326315789; 1.65221761581]
Coordinates of the circumscribed circle: U[9.5; 1.26109631989]
Coordinates of the inscribed circle: I[2.5; 2.1990093977]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.8788313647° = 164°52'42″ = 0.26439232153 rad
∠ B' = β' = 97.56108431767° = 97°33'39″ = 1.43988347191 rad
∠ C' = γ' = 97.56108431767° = 97°33'39″ = 1.43988347191 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.