14 24 27 triangle

Acute scalene triangle.

Sides: a = 14   b = 24   c = 27

Area: T = 167.6565711206
Perimeter: p = 65
Semiperimeter: s = 32.5

Angle ∠ A = α = 31.16217524168° = 31°9'42″ = 0.54438751804 rad
Angle ∠ B = β = 62.50770018946° = 62°30'25″ = 1.09109529886 rad
Angle ∠ C = γ = 86.33112456886° = 86°19'52″ = 1.50767644846 rad

Height: ha = 23.95108158866
Height: hb = 13.97113092672
Height: hc = 12.41989415708

Median: ma = 24.56662369931
Median: mb = 17.84765682976
Median: mc = 14.27441024236

Vertex coordinates: A[27; 0] B[0; 0] C[6.4632962963; 12.41989415708]
Centroid: CG[11.15443209877; 4.14396471903]
Coordinates of the circumscribed circle: U[13.5; 0.86656132198]
Coordinates of the inscribed circle: I[8.5; 5.15986372679]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.8388247583° = 148°50'18″ = 0.54438751804 rad
∠ B' = β' = 117.4932998105° = 117°29'35″ = 1.09109529886 rad
∠ C' = γ' = 93.66987543114° = 93°40'7″ = 1.50767644846 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    