Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 72   b = 72   c = 60.85770296907

Area: T = 1985.587719656
Perimeter: p = 204.8577029691
Semiperimeter: s = 102.4298514845

Angle ∠ A = α = 65° = 1.13444640138 rad
Angle ∠ B = β = 65° = 1.13444640138 rad
Angle ∠ C = γ = 50° = 0.8732664626 rad

Height: ha = 55.15551999046
Height: hb = 55.15551999046
Height: hc = 65.25441606666

Median: ma = 56.10551604702
Median: mb = 56.10551604702
Median: mc = 65.25441606666

Inradius: r = 19.38551018885
Circumradius: R = 39.72216050826

Vertex coordinates: A[60.85770296907; 0] B[0; 0] C[30.42985148453; 65.25441606666]
Centroid: CG[30.42985148453; 21.75113868889]
Coordinates of the circumscribed circle: U[30.42985148453; 25.5332555584]
Coordinates of the inscribed circle: I[30.42985148453; 19.38551018885]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115° = 1.13444640138 rad
∠ B' = β' = 115° = 1.13444640138 rad
∠ C' = γ' = 130° = 0.8732664626 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     