Triangle calculator SAS

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

Right isosceles triangle.

Sides: a = 60   b = 60   c = 84.85328137424

Area: T = 1800
Perimeter: p = 204.8532813742
Semiperimeter: s = 102.4266406871

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 60
Height: hb = 60
Height: hc = 42.42664068712

Median: ma = 67.0822039325
Median: mb = 67.0822039325
Median: mc = 42.42664068712

Inradius: r = 17.57435931288
Circumradius: R = 42.42664068712

Vertex coordinates: A[84.85328137424; 0] B[0; 0] C[42.42664068712; 42.42664068712]
Centroid: CG[42.42664068712; 14.14221356237]
Coordinates of the circumscribed circle: U[42.42664068712; -0]
Coordinates of the inscribed circle: I[42.42664068712; 17.57435931288]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 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     