Triangle calculator SAS

Please enter two sides of the triangle and the included angle
°

Obtuse isosceles triangle.

Sides: a = 1.14   b = 1.14   c = 2.23301765297

Area: T = 0.26442974707
Perimeter: p = 4.51101765297
Semiperimeter: s = 2.25550882648

Angle ∠ A = α = 12° = 0.20994395102 rad
Angle ∠ B = β = 12° = 0.20994395102 rad
Angle ∠ C = γ = 156° = 2.72327136331 rad

Height: ha = 0.46436797731
Height: hb = 0.46436797731
Height: hc = 0.23770193275

Median: ma = 1.67768254759
Median: mb = 1.67768254759
Median: mc = 0.23770193275

Inradius: r = 0.11772004993
Circumradius: R = 2.74215485765

Vertex coordinates: A[2.23301765297; 0] B[0; 0] C[1.11550882648; 0.23770193275]
Centroid: CG[1.11550882648; 0.07990064425]
Coordinates of the circumscribed circle: U[1.11550882648; -2.5054529249]
Coordinates of the inscribed circle: I[1.11550882648; 0.11772004993]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168° = 0.20994395102 rad
∠ B' = β' = 168° = 0.20994395102 rad
∠ C' = γ' = 24° = 2.72327136331 rad

How did we calculate this triangle?

1. Calculation of the third side c of the triangle using a Law of Cosines 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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     