# 17 17 19 triangle

### Acute isosceles triangle.

Sides: a = 17   b = 17   c = 19

Area: T = 133.9329785709
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 56.02655240497° = 56°1'32″ = 0.97878298598 rad
Angle ∠ B = β = 56.02655240497° = 56°1'32″ = 0.97878298598 rad
Angle ∠ C = γ = 67.94989519006° = 67°56'56″ = 1.18659329339 rad

Height: ha = 15.75664453775
Height: hb = 15.75664453775
Height: hc = 14.09878721799

Median: ma = 15.89881130956
Median: mb = 15.89881130956
Median: mc = 14.09878721799

Inradius: r = 5.05439541777
Circumradius: R = 10.25497737358

Vertex coordinates: A[19; 0] B[0; 0] C[9.5; 14.09878721799]
Centroid: CG[9.5; 4.69992907266]
Coordinates of the circumscribed circle: U[9.5; 3.84880984441]
Coordinates of the inscribed circle: I[9.5; 5.05439541777]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 123.974447595° = 123°58'28″ = 0.97878298598 rad
∠ B' = β' = 123.974447595° = 123°58'28″ = 0.97878298598 rad
∠ C' = γ' = 112.0511048099° = 112°3'4″ = 1.18659329339 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.