Triangle calculator

You have entered side a, c and angle α.

Right scalene triangle.

Sides: a = 111.8   b = 49.99223994223   c = 100

Area: T = 2499.621997112
Perimeter: p = 261.7922399422
Semiperimeter: s = 130.8966199711

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 26.5621567223° = 26°33'42″ = 0.46435868025 rad
Angle ∠ C = γ = 63.4388432777° = 63°26'18″ = 1.10772095243 rad

Height: ha = 44.71659207713
Height: hb = 100
Height: hc = 49.99223994223

Median: ma = 55.9
Median: mb = 103.0776719001
Median: mc = 70.70553039029

Vertex coordinates: A[100; 0] B[0; 0] C[100; 49.99223994223]
Centroid: CG[66.66766666667; 16.66441331408]
Coordinates of the circumscribed circle: U[50; 24.99661997112]
Coordinates of the inscribed circle: I[80.90438002888; 19.09661997112]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 153.4388432777° = 153°26'18″ = 0.46435868025 rad
∠ C' = γ' = 116.5621567223° = 116°33'42″ = 1.10772095243 rad

How did we calculate this triangle?

1. Input data entered: side a, c and angle α. 2. From angle α, side c and side a we calculate side b - by using the law of cosines and quadratic equation: 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    