Isosceles triangle calculator (A,B,a)

Please enter two properties of the isosceles triangle

Use symbols: a, b, h, T, p, A, B, C, r, R


You have entered side a, angle α, angle β and angle γ.

Acute isosceles triangle.

Sides: a = 20.5   b = 20.5   c = 12.67696967694

Area: T = 123.5088376138
Perimeter: p = 53.67696967694
Semiperimeter: s = 26.83548483847

Angle ∠ A = α = 72° = 1.25766370614 rad
Angle ∠ B = β = 72° = 1.25766370614 rad
Angle ∠ C = γ = 36° = 0.62883185307 rad

Height: ha = 12.0549597672
Height: hb = 12.0549597672
Height: hc = 19.49766585841

Median: ma = 13.61333430176
Median: mb = 13.61333430176
Median: mc = 19.49766585841

Inradius: r = 4.60325367599
Circumradius: R = 10.77774877984

Vertex coordinates: A[12.67696967694; 0] B[0; 0] C[6.33548483847; 19.49766585841]
Centroid: CG[6.33548483847; 6.49988861947]
Coordinates of the circumscribed circle: U[6.33548483847; 8.71991707856]
Coordinates of the inscribed circle: I[6.33548483847; 4.60325367599]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 108° = 1.25766370614 rad
∠ B' = β' = 108° = 1.25766370614 rad
∠ C' = γ' = 144° = 0.62883185307 rad

Calculate another triangle




How did we calculate this triangle?

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.


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