Triangle calculator

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

Acute scalene triangle.

Sides: a = 150   b = 340   c = 369

Area: T = 25495.39220824
Perimeter: p = 859
Semiperimeter: s = 429.5

Angle ∠ A = α = 23.98108075536° = 23°58'51″ = 0.41985440491 rad
Angle ∠ B = β = 67.10884395912° = 67°6'30″ = 1.17112632267 rad
Angle ∠ C = γ = 88.91107528552° = 88°54'39″ = 1.55217853777 rad

Height: ha = 339.9398561099
Height: hb = 149.9732894603
Height: hc = 138.1866406951

Median: ma = 346.7798747907
Median: mb = 224.5677361832
Median: mc = 187.1098925495

Inradius: r = 59.36106334865
Circumradius: R = 184.5333345664

Vertex coordinates: A[369; 0] B[0; 0] C[58.34882384824; 138.1866406951]
Centroid: CG[142.4499412827; 46.06221356503]
Coordinates of the circumscribed circle: U[184.5; 3.50879427181]
Coordinates of the inscribed circle: I[89.5; 59.36106334865]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.0199192446° = 156°1'9″ = 0.41985440491 rad
∠ B' = β' = 112.8921560409° = 112°53'30″ = 1.17112632267 rad
∠ C' = γ' = 91.08992471448° = 91°5'21″ = 1.55217853777 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     