# 19 19 30 triangle

### Obtuse isosceles triangle.

Sides: a = 19   b = 19   c = 30

Area: T = 174.9298556845
Perimeter: p = 68
Semiperimeter: s = 34

Angle ∠ A = α = 37.86436463617° = 37°51'49″ = 0.66108452958 rad
Angle ∠ B = β = 37.86436463617° = 37°51'49″ = 0.66108452958 rad
Angle ∠ C = γ = 104.2732707277° = 104°16'22″ = 1.82199020619 rad

Height: ha = 18.41435322995
Height: hb = 18.41435322995
Height: hc = 11.66219037897

Median: ma = 23.24332785983
Median: mb = 23.24332785983
Median: mc = 11.66219037897

Inradius: r = 5.14549575543
Circumradius: R = 15.47877473091

Vertex coordinates: A[30; 0] B[0; 0] C[15; 11.66219037897]
Centroid: CG[15; 3.88773012632]
Coordinates of the circumscribed circle: U[15; -3.81658435194]
Coordinates of the inscribed circle: I[15; 5.14549575543]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.1366353638° = 142°8'11″ = 0.66108452958 rad
∠ B' = β' = 142.1366353638° = 142°8'11″ = 0.66108452958 rad
∠ C' = γ' = 75.72772927235° = 75°43'38″ = 1.82199020619 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.