24 28 30 triangle

Acute scalene triangle.

Sides: a = 24   b = 28   c = 30

Area: T = 315.7077142776
Perimeter: p = 82
Semiperimeter: s = 41

Angle ∠ A = α = 48.73664340939° = 48°44'11″ = 0.85106112406 rad
Angle ∠ B = β = 61.27883074912° = 61°16'42″ = 1.07695082258 rad
Angle ∠ C = γ = 69.98552584149° = 69°59'7″ = 1.22114731872 rad

Height: ha = 26.30989285647
Height: hb = 22.55105101983
Height: hc = 21.04771428518

Median: ma = 26.42196896272
Median: mb = 23.28108934536
Median: mc = 21.33107290077

Vertex coordinates: A[30; 0] B[0; 0] C[11.53333333333; 21.04771428518]
Centroid: CG[13.84444444444; 7.01657142839]
Coordinates of the circumscribed circle: U[15; 5.46439245246]
Coordinates of the inscribed circle: I[13; 7.77001742141]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.2643565906° = 131°15'49″ = 0.85106112406 rad
∠ B' = β' = 118.7221692509° = 118°43'18″ = 1.07695082258 rad
∠ C' = γ' = 110.0154741585° = 110°53″ = 1.22114731872 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    