Triangle calculator

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

Acute isosceles triangle.

Sides: a = 300   b = 300   c = 360.001085748

Area: T = 43200.04550174
Perimeter: p = 960.001085748
Semiperimeter: s = 4800.00042874

Angle ∠ A = α = 53.13° = 53°7'48″ = 0.92772934316 rad
Angle ∠ B = β = 53.13° = 53°7'48″ = 0.92772934316 rad
Angle ∠ C = γ = 73.74° = 73°44'24″ = 1.28770057904 rad

Height: ha = 2888.000300116
Height: hb = 2888.000300116
Height: hc = 2409.999678445

Median: ma = 295.4666256437
Median: mb = 295.4666256437
Median: mc = 2409.999678445

Inradius: r = 900.0000133976
Circumradius: R = 187.5500251215

Vertex coordinates: A[360.001085748; 0] B[0; 0] C[1800.00042874; 2409.999678445]
Centroid: CG[1800.00042874; 809.9998928149]
Coordinates of the circumscribed circle: U[1800.00042874; 52.4999427229]
Coordinates of the inscribed circle: I[1800.00042874; 900.0000133976]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.87° = 126°52'12″ = 0.92772934316 rad
∠ B' = β' = 126.87° = 126°52'12″ = 0.92772934316 rad
∠ C' = γ' = 106.26° = 106°15'36″ = 1.28770057904 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     