13 15 27 triangle
Obtuse scalene triangle.
Sides: a = 13 b = 15 c = 27Area: T = 49.92218138693
Perimeter: p = 55
Semiperimeter: s = 27.5
Angle ∠ A = α = 14.27221207873° = 14°16'20″ = 0.2499095499 rad
Angle ∠ B = β = 16.5266260923° = 16°31'35″ = 0.28884376661 rad
Angle ∠ C = γ = 149.202161829° = 149°12'6″ = 2.60440594885 rad
Height: ha = 7.68802790568
Height: hb = 6.65662418492
Height: hc = 3.69879121385
Median: ma = 20.8510659462
Median: mb = 19.81879211826
Median: mc = 3.84105728739
Inradius: r = 1.81553386862
Circumradius: R = 26.36662294693
Vertex coordinates: A[27; 0] B[0; 0] C[12.4632962963; 3.69879121385]
Centroid: CG[13.15443209877; 1.23326373795]
Coordinates of the circumscribed circle: U[13.5; -22.64879150569]
Coordinates of the inscribed circle: I[12.5; 1.81553386862]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.7287879213° = 165°43'40″ = 0.2499095499 rad
∠ B' = β' = 163.4743739077° = 163°28'25″ = 0.28884376661 rad
∠ C' = γ' = 30.79883817103° = 30°47'54″ = 2.60440594885 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
