Triangle calculator SSS - result

Please enter the triangle sides:

Obtuse scalene triangle.

Sides: a = 8   b = 11   c = 15

Area: T = 42.84985705713
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 31.29904452139° = 31°17'26″ = 0.54661212934 rad
Angle ∠ B = β = 45.57329959992° = 45°34'23″ = 0.79553988302 rad
Angle ∠ C = γ = 103.1376558787° = 103°8'12″ = 1.880007253 rad

Height: ha = 10.71221426428
Height: hb = 7.79106491948
Height: hc = 5.71331427428

Median: ma = 12.53299640861
Median: mb = 10.68987791632
Median: mc = 6.02107972894

Inradius: r = 2.52105041513
Circumradius: R = 7.70215404622

Vertex coordinates: A[15; 0] B[0; 0] C[5.6; 5.71331427428]
Centroid: CG[6.86766666667; 1.90443809143]
Coordinates of the circumscribed circle: U[7.5; -1.7550350105]
Coordinates of the inscribed circle: I[6; 2.52105041513]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.7109554786° = 148°42'34″ = 0.54661212934 rad
∠ B' = β' = 134.4277004001° = 134°25'37″ = 0.79553988302 rad
∠ C' = γ' = 76.86334412131° = 76°51'48″ = 1.880007253 rad

How did we calculate this triangle?

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     