15 24 28 triangle

Acute scalene triangle.

Sides: a = 15   b = 24   c = 28

Area: T = 179.9549819394
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 32.38222322764° = 32°22'56″ = 0.56551765724 rad
Angle ∠ B = β = 58.97107104672° = 58°58'15″ = 1.02992330599 rad
Angle ∠ C = γ = 88.64770572564° = 88°38'49″ = 1.54771830213 rad

Height: ha = 23.99333092526
Height: hb = 14.99658182828
Height: hc = 12.85435585282

Median: ma = 24.97549874875
Median: mb = 18.9876837546
Median: mc = 14.33003496461

Vertex coordinates: A[28; 0] B[0; 0] C[7.73221428571; 12.85435585282]
Centroid: CG[11.91107142857; 4.28545195094]
Coordinates of the circumscribed circle: U[14; 0.33106477339]
Coordinates of the inscribed circle: I[9.5; 5.37216363998]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.6187767724° = 147°37'4″ = 0.56551765724 rad
∠ B' = β' = 121.0299289533° = 121°1'45″ = 1.02992330599 rad
∠ C' = γ' = 91.35329427436° = 91°21'11″ = 1.54771830213 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    