17 24 30 triangle

Obtuse scalene triangle.

Sides: a = 17   b = 24   c = 30

Area: T = 203.8122260426
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 34.48218516526° = 34°28'55″ = 0.60218218435 rad
Angle ∠ B = β = 53.06598546227° = 53°3'35″ = 0.92660691638 rad
Angle ∠ C = γ = 92.45882937248° = 92°27'30″ = 1.61437016463 rad

Height: ha = 23.97879129913
Height: hb = 16.98443550355
Height: hc = 13.58774840284

Median: ma = 25.80221316949
Median: mb = 21.22549852768
Median: mc = 14.40548602909

Vertex coordinates: A[30; 0] B[0; 0] C[10.21766666667; 13.58774840284]
Centroid: CG[13.40655555556; 4.52991613428]
Coordinates of the circumscribed circle: U[15; -0.6443974998]
Coordinates of the inscribed circle: I[11.5; 5.74111904345]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.5188148347° = 145°31'5″ = 0.60218218435 rad
∠ B' = β' = 126.9440145377° = 126°56'25″ = 0.92660691638 rad
∠ C' = γ' = 87.54217062752° = 87°32'30″ = 1.61437016463 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    