# 17 17 29 triangle

### Obtuse isosceles triangle.

Sides: a = 17   b = 17   c = 29

Area: T = 128.6754735282
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ B = β = 31.46769762933° = 31°28'1″ = 0.5499202342 rad
Angle ∠ C = γ = 117.0666047413° = 117°3'58″ = 2.04331879697 rad

Height: ha = 15.13882041509
Height: hb = 15.13882041509
Height: hc = 8.87441196746

Median: ma = 22.19879728804
Median: mb = 22.19879728804
Median: mc = 8.87441196746

Inradius: r = 4.08549122312
Circumradius: R = 16.28333053078

Vertex coordinates: A[29; 0] B[0; 0] C[14.5; 8.87441196746]
Centroid: CG[14.5; 2.95880398915]
Coordinates of the circumscribed circle: U[14.5; -7.40991856331]
Coordinates of the inscribed circle: I[14.5; 4.08549122312]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ B' = β' = 148.5333023707° = 148°31'59″ = 0.5499202342 rad
∠ C' = γ' = 62.93439525865° = 62°56'2″ = 2.04331879697 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    