12 22 25 triangle
Acute scalene triangle.
Sides: a = 12 b = 22 c = 25Area: T = 131.9987869301
Perimeter: p = 59
Semiperimeter: s = 29.5
Angle ∠ A = α = 28.68548959816° = 28°41'6″ = 0.50106458805 rad
Angle ∠ B = β = 61.64106499718° = 61°38'26″ = 1.07658322951 rad
Angle ∠ C = γ = 89.67444540466° = 89°40'28″ = 1.5655114478 rad
Height: ha = 221.9996448835
Height: hb = 121.9998063001
Height: hc = 10.56598295441
Median: ma = 22.77105950735
Median: mb = 16.23326830807
Median: mc = 12.56598566871
Inradius: r = 4.47545040441
Circumradius: R = 12.5500201774
Vertex coordinates: A[25; 0] B[0; 0] C[5.7; 10.56598295441]
Centroid: CG[10.23333333333; 3.52199431814]
Coordinates of the circumscribed circle: U[12.5; 0.07110238737]
Coordinates of the inscribed circle: I[7.5; 4.47545040441]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.3155104018° = 151°18'54″ = 0.50106458805 rad
∠ B' = β' = 118.3599350028° = 118°21'34″ = 1.07658322951 rad
∠ C' = γ' = 90.32655459534° = 90°19'32″ = 1.5655114478 rad
Calculate another triangle
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

6. Inradius

7. Circumradius
