Triangle calculator SAS

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

Right isosceles triangle.

Sides: a = 42   b = 42   c = 59.39769696197

Area: T = 882
Perimeter: p = 143.397696962
Semiperimeter: s = 71.69884848098

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

Height: ha = 42
Height: hb = 42
Height: hc = 29.69884848098

Median: ma = 46.95774275275
Median: mb = 46.95774275275
Median: mc = 29.69884848098

Inradius: r = 12.30215151902
Circumradius: R = 29.69884848098

Vertex coordinates: A[59.39769696197; 0] B[0; 0] C[29.69884848098; 29.69884848098]
Centroid: CG[29.69884848098; 9.89994949366]
Coordinates of the circumscribed circle: U[29.69884848098; 0]
Coordinates of the inscribed circle: I[29.69884848098; 12.30215151902]

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    