10 22 28 triangle

Obtuse scalene triangle.

Sides: a = 10   b = 22   c = 28

Area: T = 97.98795897113
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 18.54989996134° = 18°32'56″ = 0.32437411162 rad
Angle ∠ B = β = 44.41553085972° = 44°24'55″ = 0.77551933733 rad
Angle ∠ C = γ = 117.0365691789° = 117°2'8″ = 2.04326581641 rad

Height: ha = 19.59659179423
Height: hb = 8.90772354283
Height: hc = 6.99985421222

Median: ma = 24.67879253585
Median: mb = 17.91664728672
Median: mc = 9.79879589711

Vertex coordinates: A[28; 0] B[0; 0] C[7.14328571429; 6.99985421222]
Centroid: CG[11.71442857143; 2.33328473741]
Coordinates of the circumscribed circle: U[14; -7.14443450831]
Coordinates of the inscribed circle: I[8; 3.26659863237]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.4511000387° = 161°27'4″ = 0.32437411162 rad
∠ B' = β' = 135.5854691403° = 135°35'5″ = 0.77551933733 rad
∠ C' = γ' = 62.96443082106° = 62°57'52″ = 2.04326581641 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    