# 15 22 29 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 22   c = 29

Area: T = 161.6666323024
Perimeter: p = 66
Semiperimeter: s = 33

Angle ∠ A = α = 30.45503140214° = 30°27'1″ = 0.53114582379 rad
Angle ∠ B = β = 48.01327269458° = 48°46″ = 0.83879801681 rad
Angle ∠ C = γ = 101.5376959033° = 101°32'13″ = 1.77221542476 rad

Height: ha = 21.55655097365
Height: hb = 14.69769384567
Height: hc = 11.14994015878

Median: ma = 24.62221445045
Median: mb = 20.29877831302
Median: mc = 12.01104121495

Inradius: r = 4.89989794856
Circumradius: R = 14.79990005293

Vertex coordinates: A[29; 0] B[0; 0] C[10.03444827586; 11.14994015878]
Centroid: CG[13.01114942529; 3.71664671959]
Coordinates of the circumscribed circle: U[14.5; -2.96598001059]
Coordinates of the inscribed circle: I[11; 4.89989794856]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.5549685979° = 149°32'59″ = 0.53114582379 rad
∠ B' = β' = 131.9877273054° = 131°59'14″ = 0.83879801681 rad
∠ C' = γ' = 78.46330409672° = 78°27'47″ = 1.77221542476 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    