# 17 22 30 triangle

### Obtuse scalene triangle.

Sides: a = 17   b = 22   c = 30

Area: T = 184.285493563
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 33.9487926527° = 33°56'53″ = 0.59325030921 rad
Angle ∠ B = β = 46.27766909947° = 46°16'36″ = 0.80876806248 rad
Angle ∠ C = γ = 99.77553824783° = 99°46'31″ = 1.74114089367 rad

Height: ha = 21.68105806623
Height: hb = 16.75331759663
Height: hc = 12.28656623753

Median: ma = 24.8954778569
Median: mb = 21.7660055147
Median: mc = 12.70882650271

Inradius: r = 5.34215923371
Circumradius: R = 15.22109945453

Vertex coordinates: A[30; 0] B[0; 0] C[11.75; 12.28656623753]
Centroid: CG[13.91766666667; 4.09552207918]
Coordinates of the circumscribed circle: U[15; -2.5844313245]
Coordinates of the inscribed circle: I[12.5; 5.34215923371]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.0522073473° = 146°3'7″ = 0.59325030921 rad
∠ B' = β' = 133.7233309005° = 133°43'24″ = 0.80876806248 rad
∠ C' = γ' = 80.22546175217° = 80°13'29″ = 1.74114089367 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    