Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 5.5   b = 5.5   c = 2.84770094961

Area: T = 7.56325
Perimeter: p = 13.84770094961
Semiperimeter: s = 6.92435047481

Angle ∠ A = α = 75° = 1.3098996939 rad
Angle ∠ B = β = 75° = 1.3098996939 rad
Angle ∠ C = γ = 30° = 0.52435987756 rad

Height: ha = 2.75
Height: hb = 2.75
Height: hc = 5.31325920446

Median: ma = 3.40881126061
Median: mb = 3.40881126061
Median: mc = 5.31325920446

Inradius: r = 1.09222936107
Circumradius: R = 2.84770094961

Vertex coordinates: A[2.84770094961; 0] B[0; 0] C[1.42435047481; 5.31325920446]
Centroid: CG[1.42435047481; 1.77108640149]
Coordinates of the circumscribed circle: U[1.42435047481; 2.46655825485]
Coordinates of the inscribed circle: I[1.42435047481; 1.09222936107]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105° = 1.3098996939 rad
∠ B' = β' = 105° = 1.3098996939 rad
∠ C' = γ' = 150° = 0.52435987756 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     