19 27 30 triangle

Acute scalene triangle.

Sides: a = 19   b = 27   c = 30

Area: T = 252.0633484067
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 38.49900685704° = 38°29'24″ = 0.67217784259 rad
Angle ∠ B = β = 62.18218607153° = 62°10'55″ = 1.08552782045 rad
Angle ∠ C = γ = 79.32880707142° = 79°19'41″ = 1.38545360232 rad

Height: ha = 26.53329983228
Height: hb = 18.67113691901
Height: hc = 16.80442322711

Median: ma = 26.91218932816
Median: mb = 21.17219153597
Median: mc = 17.889854382

Vertex coordinates: A[30; 0] B[0; 0] C[8.86766666667; 16.80442322711]
Centroid: CG[12.95655555556; 5.6011410757]
Coordinates of the circumscribed circle: U[15; 2.82766688554]
Coordinates of the inscribed circle: I[11; 6.63332495807]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.510993143° = 141°30'36″ = 0.67217784259 rad
∠ B' = β' = 117.8188139285° = 117°49'5″ = 1.08552782045 rad
∠ C' = γ' = 100.6721929286° = 100°40'19″ = 1.38545360232 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    