Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 910   b = 910   c = 142.7965554225

Area: T = 64771.69902499
Perimeter: p = 1962.796555422
Semiperimeter: s = 981.3987777112

Angle ∠ A = α = 85.5° = 85°30' = 1.49222565105 rad
Angle ∠ B = β = 85.5° = 85°30' = 1.49222565105 rad
Angle ∠ C = γ = 9° = 0.15770796327 rad

Height: ha = 142.3555363187
Height: hb = 142.3555363187
Height: hc = 907.1954773697

Median: ma = 466.0698970382
Median: mb = 466.0698970382
Median: mc = 907.1954773697

Inradius: r = 65.99994262882
Circumradius: R = 456.407695031

Vertex coordinates: A[142.7965554225; 0] B[0; 0] C[71.39877771123; 907.1954773697]
Centroid: CG[71.39877771123; 302.3988257899]
Coordinates of the circumscribed circle: U[71.39877771123; 450.7887823387]
Coordinates of the inscribed circle: I[71.39877771123; 65.99994262882]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 94.5° = 94°30' = 1.49222565105 rad
∠ B' = β' = 94.5° = 94°30' = 1.49222565105 rad
∠ C' = γ' = 171° = 0.15770796327 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     