12 14 18 triangle

Acute scalene triangle.

Sides: a = 12   b = 14   c = 18

Area: T = 83.90547078536
Perimeter: p = 44
Semiperimeter: s = 22

Angle ∠ A = α = 41.7522205202° = 41°45'8″ = 0.72987134507 rad
Angle ∠ B = β = 50.97771974348° = 50°58'38″ = 0.89897199387 rad
Angle ∠ C = γ = 87.27105973632° = 87°16'14″ = 1.52331592642 rad

Height: ha = 13.98441179756
Height: hb = 11.98663868362
Height: hc = 9.32327453171

Median: ma = 14.96766295471
Median: mb = 13.60114705087
Median: mc = 9.43439811321

Vertex coordinates: A[18; 0] B[0; 0] C[7.55655555556; 9.32327453171]
Centroid: CG[8.51985185185; 3.10875817724]
Coordinates of the circumscribed circle: U[9; 0.42990581652]
Coordinates of the inscribed circle: I[8; 3.8143850357]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.2487794798° = 138°14'52″ = 0.72987134507 rad
∠ B' = β' = 129.0232802565° = 129°1'22″ = 0.89897199387 rad
∠ C' = γ' = 92.72994026368° = 92°43'46″ = 1.52331592642 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    