20 23 28 triangle

Acute scalene triangle.

Sides: a = 20   b = 23   c = 28

Area: T = 227.1255378371
Perimeter: p = 71
Semiperimeter: s = 35.5

Angle ∠ A = α = 44.85884992844° = 44°51'31″ = 0.783292851 rad
Angle ∠ B = β = 54.21096242387° = 54°12'35″ = 0.94661364292 rad
Angle ∠ C = γ = 80.93218764769° = 80°55'55″ = 1.41325277143 rad

Height: ha = 22.71325378371
Height: hb = 19.75500329018
Height: hc = 16.22332413122

Median: ma = 23.59902522242
Median: mb = 21.44217816424
Median: mc = 16.38659696082

Vertex coordinates: A[28; 0] B[0; 0] C[11.69664285714; 16.22332413122]
Centroid: CG[13.23221428571; 5.40877471041]
Coordinates of the circumscribed circle: U[14; 2.23444486717]
Coordinates of the inscribed circle: I[12.5; 6.39878979823]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.1421500716° = 135°8'29″ = 0.783292851 rad
∠ B' = β' = 125.7990375761° = 125°47'25″ = 0.94661364292 rad
∠ C' = γ' = 99.06881235231° = 99°4'5″ = 1.41325277143 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    