18 20 22 triangle

Acute scalene triangle.

Sides: a = 18   b = 20   c = 22

Area: T = 169.7065627485
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 50.47988036414° = 50°28'44″ = 0.8811021326 rad
Angle ∠ B = β = 58.99224169931° = 58°59'33″ = 1.03296119102 rad
Angle ∠ C = γ = 70.52987793655° = 70°31'44″ = 1.23109594173 rad

Height: ha = 18.85661808316
Height: hb = 16.97105627485
Height: hc = 15.42877843168

Median: ma = 19
Median: mb = 17.43655957742
Median: mc = 15.52441746963

Vertex coordinates: A[22; 0] B[0; 0] C[9.27327272727; 15.42877843168]
Centroid: CG[10.42442424242; 5.14325947723]
Coordinates of the circumscribed circle: U[11; 3.88990872965]
Coordinates of the inscribed circle: I[10; 5.65768542495]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.5211196359° = 129°31'16″ = 0.8811021326 rad
∠ B' = β' = 121.0087583007° = 121°27″ = 1.03296119102 rad
∠ C' = γ' = 109.4711220634° = 109°28'16″ = 1.23109594173 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    