19 26 30 triangle

Acute scalene triangle.

Sides: a = 19   b = 26   c = 30

Area: T = 244.614385386
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 38.84549485964° = 38°50'42″ = 0.67879722508 rad
Angle ∠ B = β = 59.12655945924° = 59°7'32″ = 1.03219362978 rad
Angle ∠ C = γ = 82.02994568112° = 82°1'46″ = 1.4321684105 rad

Height: ha = 25.74988267221
Height: hb = 18.81664502969
Height: hc = 16.30875902573

Median: ma = 26.41549578837
Median: mb = 21.48325510589
Median: mc = 17.1321841699

Vertex coordinates: A[30; 0] B[0; 0] C[9.75; 16.30875902573]
Centroid: CG[13.25; 5.43658634191]
Coordinates of the circumscribed circle: U[15; 2.1100248992]
Coordinates of the inscribed circle: I[11.5; 6.52330361029]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 141.1555051404° = 141°9'18″ = 0.67879722508 rad
∠ B' = β' = 120.8744405408° = 120°52'28″ = 1.03219362978 rad
∠ C' = γ' = 97.97105431888° = 97°58'14″ = 1.4321684105 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    