Triangle calculator SAS

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

Acute isosceles triangle.

Sides: a = 60   b = 60   c = 45.92220118838

Area: T = 1272.792220614
Perimeter: p = 165.9222011884
Semiperimeter: s = 82.96110059419

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 = 42.42664068712
Height: hb = 42.42664068712
Height: hc = 55.43327719507

Median: ma = 44.20987727462
Median: mb = 44.20987727462
Median: mc = 55.43327719507

Inradius: r = 15.34220536755
Circumradius: R = 32.47217660088

Vertex coordinates: A[45.92220118838; 0] B[0; 0] C[22.96110059419; 55.43327719507]
Centroid: CG[22.96110059419; 18.47875906502]
Coordinates of the circumscribed circle: U[22.96110059419; 22.96110059419]
Coordinates of the inscribed circle: I[22.96110059419; 15.34220536755]

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     