Triangle calculator SSA

Please enter two sides and a non-included angle
°

Acute isosceles triangle.

Sides: a = 90   b = 90   c = 76.07112871133

Area: T = 3102.487999463
Perimeter: p = 256.0711287113
Semiperimeter: s = 128.0365643557

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

Height: ha = 68.94439998807
Height: hb = 68.94439998807
Height: hc = 81.56877008333

Median: ma = 70.13114505877
Median: mb = 70.13114505877
Median: mc = 81.56877008333

Inradius: r = 24.23113773606
Circumradius: R = 49.65220063533

Vertex coordinates: A[76.07112871133; 0] B[0; 0] C[38.03656435567; 81.56877008333]
Centroid: CG[38.03656435567; 27.18992336111]
Coordinates of the circumscribed circle: U[38.03656435567; 31.916569448]
Coordinates of the inscribed circle: I[38.03656435567; 24.23113773606]

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. Use 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     