Triangle calculator

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

Acute scalene triangle.

Sides: a = 3400   b = 2400   c = 3148.154422816

Area: T = 3635306.619869
Perimeter: p = 8948.154422816
Semiperimeter: s = 4474.077711408

Angle ∠ A = α = 74.21441457956° = 74°12'51″ = 1.29552811957 rad
Angle ∠ B = β = 42.78658542044° = 42°47'9″ = 0.74767540291 rad
Angle ∠ C = γ = 63° = 1.10995574288 rad

Height: ha = 2138.416565805
Height: hb = 3029.422218224
Height: hc = 2309.48444504

Median: ma = 2223.83439691
Median: mb = 3048.842199691
Median: mc = 2486.419936104

Inradius: r = 812.5276589506
Circumradius: R = 1766.628804519

Vertex coordinates: A[3148.154422816; 0] B[0; 0] C[2495.25218056; 2309.48444504]
Centroid: CG[1881.135534459; 769.8288150133]
Coordinates of the circumscribed circle: U[1574.077711408; 802.0322349089]
Coordinates of the inscribed circle: I[2074.077711408; 812.5276589506]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 105.7865854204° = 105°47'9″ = 1.29552811957 rad
∠ B' = β' = 137.2144145796° = 137°12'51″ = 0.74767540291 rad
∠ C' = γ' = 117° = 1.10995574288 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     