Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 50   b = 50   c = 38.26883432365

Area: T = 883.8833476483
Perimeter: p = 138.2688343236
Semiperimeter: s = 69.13441716183

Angle ∠ A = α = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ B = β = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ C = γ = 45° = 0.78553981634 rad

Height: ha = 35.35553390593
Height: hb = 35.35553390593
Height: hc = 46.19439766256

Median: ma = 36.84106439552
Median: mb = 36.84106439552
Median: mc = 46.19439766256

Inradius: r = 12.78550447296
Circumradius: R = 27.06598050073

Vertex coordinates: A[38.26883432365; 0] B[0; 0] C[19.13441716183; 46.19439766256]
Centroid: CG[19.13441716183; 15.39879922085]
Coordinates of the circumscribed circle: U[19.13441716183; 19.13441716183]
Coordinates of the inscribed circle: I[19.13441716183; 12.78550447296]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5° = 112°30' = 1.17880972451 rad
∠ B' = β' = 112.5° = 112°30' = 1.17880972451 rad
∠ C' = γ' = 135° = 0.78553981634 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     