# 2 17 17 triangle

### Acute isosceles triangle.

Sides: a = 2   b = 17   c = 17

Area: T = 16.97105627485
Perimeter: p = 36
Semiperimeter: s = 18

Angle ∠ A = α = 6.74545733669° = 6°44'40″ = 0.11877150119 rad
Angle ∠ B = β = 86.62877133166° = 86°37'40″ = 1.51219388208 rad
Angle ∠ C = γ = 86.62877133166° = 86°37'40″ = 1.51219388208 rad

Height: ha = 16.97105627485
Height: hb = 1.99765367939
Height: hc = 1.99765367939

Median: ma = 16.97105627485
Median: mb = 8.61768439698
Median: mc = 8.61768439698

Inradius: r = 0.94328090416
Circumradius: R = 8.51547441568

Vertex coordinates: A[17; 0] B[0; 0] C[0.11876470588; 1.99765367939]
Centroid: CG[5.70658823529; 0.66655122646]
Coordinates of the circumscribed circle: U[8.5; 0.50108673033]
Coordinates of the inscribed circle: I[1; 0.94328090416]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173.2555426633° = 173°15'20″ = 0.11877150119 rad
∠ B' = β' = 93.37222866834° = 93°22'20″ = 1.51219388208 rad
∠ C' = γ' = 93.37222866834° = 93°22'20″ = 1.51219388208 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    