Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 3.7   b = 3.7   c = 4.2444465629

Area: T = 6.43221959893
Perimeter: p = 11.6444465629
Semiperimeter: s = 5.82222328145

Angle ∠ A = α = 55° = 0.96599310886 rad
Angle ∠ B = β = 55° = 0.96599310886 rad
Angle ∠ C = γ = 70° = 1.22217304764 rad

Height: ha = 3.47768626969
Height: hb = 3.47768626969
Height: hc = 3.03108625639

Median: ma = 3.52656551502
Median: mb = 3.52656551502
Median: mc = 3.03108625639

Inradius: r = 1.10547644768
Circumradius: R = 2.25884329892

Vertex coordinates: A[4.2444465629; 0] B[0; 0] C[2.12222328145; 3.03108625639]
Centroid: CG[2.12222328145; 1.01102875213]
Coordinates of the circumscribed circle: U[2.12222328145; 0.77224295747]
Coordinates of the inscribed circle: I[2.12222328145; 1.10547644768]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 125° = 0.96599310886 rad
∠ B' = β' = 125° = 0.96599310886 rad
∠ C' = γ' = 110° = 1.22217304764 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     