Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and angle γ.

Right isosceles triangle.

Sides: a = 16.5   b = 16.5   c = 23.33545237792

Area: T = 136.125
Perimeter: p = 56.33545237792
Semiperimeter: s = 28.16772618896

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

Height: ha = 16.5
Height: hb = 16.5
Height: hc = 11.66772618896

Median: ma = 18.44875608144
Median: mb = 18.44875608144
Median: mc = 11.66772618896

Inradius: r = 4.83327381104
Circumradius: R = 11.66772618896

Vertex coordinates: A[23.33545237792; 0] B[0; 0] C[11.66772618896; 11.66772618896]
Centroid: CG[11.66772618896; 3.88990872965]
Coordinates of the circumscribed circle: U[11.66772618896; -0]
Coordinates of the inscribed circle: I[11.66772618896; 4.83327381104]

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. Input data entered: side a, b and angle γ. 2. 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. 3. The triangle circumference is the sum of the lengths of its three sides 4. Semiperimeter of the triangle 5. The triangle area using Heron's formula 6. Calculate the heights of the triangle from its area. 7. Calculation of the inner angles of the triangle using a Law of Cosines     