Triangle calculator

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

Obtuse scalene triangle.

Sides: a = 89.75106106817   b = 90   c = 0.25

Area: T = 0.78547603296
Perimeter: p = 180.0010610682
Semiperimeter: s = 900.0003053409

Angle ∠ A = α = 4° = 4° = 0.07698131701 rad
Angle ∠ B = β = 175.9898867063° = 175°59'20″ = 3.07215851771 rad
Angle ∠ C = γ = 0.0111132937° = 0°40″ = 00.0001943064 rad

Height: ha = 0.01774875764
Height: hb = 0.01774391184
Height: hc = 6.2788082637

Median: ma = 45.12546963487
Median: mb = 44.75106123854
Median: mc = 89.87553049167

Inradius: r = 0.00987195296
Circumradius: R = 643.3143845039

Vertex coordinates: A[0.25; 0] B[0; 0] C[-89.53107645234; 6.2788082637]
Centroid: CG[-29.76602548411; 2.09326942123]
Coordinates of the circumscribed circle: U[0.125; 643.3143832895]
Coordinates of the inscribed circle: I[00.0003053409; 0.00987195296]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 176° = 0.07698131701 rad
∠ B' = β' = 4.0111132937° = 4°40″ = 3.07215851771 rad
∠ C' = γ' = 179.9898867063° = 179°59'20″ = 00.0001943064 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     