22 24 29 triangle

Acute scalene triangle.

Sides: a = 22   b = 24   c = 29

Area: T = 258.2660406373
Perimeter: p = 75
Semiperimeter: s = 37.5

Angle ∠ A = α = 47.91329715914° = 47°54'47″ = 0.83662391087 rad
Angle ∠ B = β = 54.05662587027° = 54°3'23″ = 0.94334596957 rad
Angle ∠ C = γ = 78.03107697059° = 78°1'51″ = 1.36218938492 rad

Height: ha = 23.47882187612
Height: hb = 21.52217005311
Height: hc = 17.81110625085

Median: ma = 24.23883992871
Median: mb = 22.77105950735
Median: mc = 17.88215547422

Vertex coordinates: A[29; 0] B[0; 0] C[12.91437931034; 17.81110625085]
Centroid: CG[13.97112643678; 5.93770208362]
Coordinates of the circumscribed circle: U[14.5; 3.07439322808]
Coordinates of the inscribed circle: I[13.5; 6.88769441699]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 132.0877028409° = 132°5'13″ = 0.83662391087 rad
∠ B' = β' = 125.9443741297° = 125°56'37″ = 0.94334596957 rad
∠ C' = γ' = 101.9699230294° = 101°58'9″ = 1.36218938492 rad

How did we calculate this triangle?

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. 1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines    