22 24 28 triangle

Acute scalene triangle.

Sides: a = 22   b = 24   c = 28

Area: T = 254.8233468307
Perimeter: p = 74
Semiperimeter: s = 37

Angle ∠ A = α = 49.32436272308° = 49°19'25″ = 0.86108596942 rad
Angle ∠ B = β = 55.82773636603° = 55°49'38″ = 0.97443713086 rad
Angle ∠ C = γ = 74.84990091089° = 74°50'56″ = 1.30663616508 rad

Height: ha = 23.16657698461
Height: hb = 21.23552890256
Height: hc = 18.20216763076

Median: ma = 23.64331808351
Median: mb = 22.13659436212
Median: mc = 18.27656668825

Vertex coordinates: A[28; 0] B[0; 0] C[12.35771428571; 18.20216763076]
Centroid: CG[13.45223809524; 6.06772254359]
Coordinates of the circumscribed circle: U[14; 3.79108596348]
Coordinates of the inscribed circle: I[13; 6.88771207651]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.6766372769° = 130°40'35″ = 0.86108596942 rad
∠ B' = β' = 124.173263634° = 124°10'22″ = 0.97443713086 rad
∠ C' = γ' = 105.1510990891° = 105°9'4″ = 1.30663616508 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    