# 15 17 17 triangle

### Acute isosceles triangle.

Sides: a = 15   b = 17   c = 17

Area: T = 114.4211097268
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 52.3587937408° = 52°21'29″ = 0.91438183973 rad
Angle ∠ B = β = 63.8211031296° = 63°49'16″ = 1.11438871281 rad
Angle ∠ C = γ = 63.8211031296° = 63°49'16″ = 1.11438871281 rad

Height: ha = 15.25661463024
Height: hb = 13.46113055609
Height: hc = 13.46113055609

Median: ma = 15.25661463024
Median: mb = 13.59222772191
Median: mc = 13.59222772191

Inradius: r = 4.67702488681
Circumradius: R = 9.47215924412

Vertex coordinates: A[17; 0] B[0; 0] C[6.61876470588; 13.46113055609]
Centroid: CG[7.87325490196; 4.48771018536]
Coordinates of the circumscribed circle: U[8.5; 4.17986437241]
Coordinates of the inscribed circle: I[7.5; 4.67702488681]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.6422062592° = 127°38'31″ = 0.91438183973 rad
∠ B' = β' = 116.1798968704° = 116°10'44″ = 1.11438871281 rad
∠ C' = γ' = 116.1798968704° = 116°10'44″ = 1.11438871281 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.