Triangle calculator

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

Right scalene triangle.

Sides: a = 5.88221764679   b = 3.4   c = 4.8

Area: T = 8.16
Perimeter: p = 14.08221764679
Semiperimeter: s = 7.0411088234

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 35.31112134396° = 35°18'40″ = 0.61662969374 rad
Angle ∠ C = γ = 54.68987865604° = 54°41'20″ = 0.95444993894 rad

Height: ha = 2.77444832357
Height: hb = 4.8
Height: hc = 3.4

Median: ma = 2.9411088234
Median: mb = 5.09221508226
Median: mc = 4.16217304093

Inradius: r = 1.1598911766
Circumradius: R = 2.9411088234

Vertex coordinates: A[4.8; 0] B[0; 0] C[4.8; 3.4]
Centroid: CG[3.2; 1.13333333333]
Coordinates of the circumscribed circle: U[2.4; 1.7]
Coordinates of the inscribed circle: I[3.6411088234; 1.1598911766]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 144.689878656° = 144°41'20″ = 0.61662969374 rad
∠ C' = γ' = 125.311121344° = 125°18'40″ = 0.95444993894 rad

How did we calculate this triangle?

1. Input data entered: side b, c and angle α. 2. Calculation of the third side a 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     