# 15 29 30 triangle

### Acute scalene triangle.

Sides: a = 15   b = 29   c = 30

Area: T = 213.5044098321
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 29.39440987412° = 29°23'39″ = 0.51330238037 rad
Angle ∠ B = β = 71.60656445746° = 71°36'20″ = 1.25497542608 rad
Angle ∠ C = γ = 799.0002566841° = 79°1″ = 1.37988145891 rad

Height: ha = 28.46772131095
Height: hb = 14.72444205739
Height: hc = 14.23436065548

Median: ma = 28.53550661468
Median: mb = 18.76883243791
Median: mc = 17.55499287748

Inradius: r = 5.77703810357
Circumradius: R = 15.28107371177

Vertex coordinates: A[30; 0] B[0; 0] C[4.73333333333; 14.23436065548]
Centroid: CG[11.57877777778; 4.74545355183]
Coordinates of the circumscribed circle: U[15; 2.91656348983]
Coordinates of the inscribed circle: I[8; 5.77703810357]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.6065901259° = 150°36'21″ = 0.51330238037 rad
∠ B' = β' = 108.3944355425° = 108°23'40″ = 1.25497542608 rad
∠ C' = γ' = 1010.999743316° = 100°59'59″ = 1.37988145891 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    