Triangle calculator - result

You have entered side a, b and angle γ.

Right scalene triangle.

Sides: a = 7   b = 9   c = 11.4021754251

Area: T = 31.5
Perimeter: p = 27.4021754251
Semiperimeter: s = 13.70108771255

Angle ∠ A = α = 37.87549836511° = 37°52'30″ = 0.66110431689 rad
Angle ∠ B = β = 52.12550163489° = 52°7'30″ = 0.91097531579 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 9
Height: hb = 7
Height: hc = 5.52554655216

Median: ma = 9.65766039579
Median: mb = 8.32216584885
Median: mc = 5.70108771255

Vertex coordinates: A[11.4021754251; 0] B[0; 0] C[4.29875842946; 5.52554655216]
Centroid: CG[5.23331128485; 1.84218218405]
Coordinates of the circumscribed circle: U[5.70108771255; 0]
Coordinates of the inscribed circle: I[4.70108771255; 2.29991228745]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.1255016349° = 142°7'30″ = 0.66110431689 rad
∠ B' = β' = 127.8754983651° = 127°52'30″ = 0.91097531579 rad
∠ C' = γ' = 90° = 1.57107963268 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    