Triangle calculator

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

Right scalene triangle.

Sides: a = 311.2621947562   b = 140   c = 278

Area: T = 19460
Perimeter: p = 729.2621947562
Semiperimeter: s = 364.6310973781

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 26.73296937685° = 26°43'47″ = 0.46765211643 rad
Angle ∠ C = γ = 63.27703062315° = 63°16'13″ = 1.10442751625 rad

Height: ha = 125.0399376978
Height: hb = 278
Height: hc = 140

Median: ma = 155.6310973781
Median: mb = 286.6787519174
Median: mc = 197.2844059163

Inradius: r = 53.36990262191
Circumradius: R = 155.6310973781

Vertex coordinates: A[278; 0] B[0; 0] C[278; 140]
Centroid: CG[185.3333333333; 46.66766666667]
Coordinates of the circumscribed circle: U[139; 70]
Coordinates of the inscribed circle: I[224.6310973781; 53.36990262191]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 153.2770306232° = 153°16'13″ = 0.46765211643 rad
∠ C' = γ' = 116.7329693768° = 116°43'47″ = 1.10442751625 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     