# 16 16 19 triangle

### Acute isosceles triangle.

Sides: a = 16   b = 16   c = 19

Area: T = 122.3076735301
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 53.57664263577° = 53°34'35″ = 0.93550850414 rad
Angle ∠ B = β = 53.57664263577° = 53°34'35″ = 0.93550850414 rad
Angle ∠ C = γ = 72.84771472847° = 72°50'50″ = 1.27114225708 rad

Height: ha = 15.28883419126
Height: hb = 15.28883419126
Height: hc = 12.87443931896

Median: ma = 15.63664957711
Median: mb = 15.63664957711
Median: mc = 12.87443931896

Inradius: r = 4.79663425608
Circumradius: R = 9.94222161585

Vertex coordinates: A[19; 0] B[0; 0] C[9.5; 12.87443931896]
Centroid: CG[9.5; 4.29114643965]
Coordinates of the circumscribed circle: U[9.5; 2.93221770311]
Coordinates of the inscribed circle: I[9.5; 4.79663425608]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.4243573642° = 126°25'25″ = 0.93550850414 rad
∠ B' = β' = 126.4243573642° = 126°25'25″ = 0.93550850414 rad
∠ C' = γ' = 107.1532852715° = 107°9'10″ = 1.27114225708 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.