24 26 29 triangle

Acute scalene triangle.

Sides: a = 24   b = 26   c = 29

Area: T = 294.5955379292
Perimeter: p = 79
Semiperimeter: s = 39.5

Angle ∠ A = α = 51.39107833262° = 51°23'27″ = 0.89769383742 rad
Angle ∠ B = β = 57.83771442373° = 57°50'14″ = 1.00994485969 rad
Angle ∠ C = γ = 70.77220724365° = 70°46'19″ = 1.23552056825 rad

Height: ha = 24.5549614941
Height: hb = 22.66111830224
Height: hc = 20.31769227098

Median: ma = 24.78991105125
Median: mb = 23.22771392987
Median: mc = 20.39899485041

Vertex coordinates: A[29; 0] B[0; 0] C[12.7765862069; 20.31769227098]
Centroid: CG[13.92552873563; 6.77223075699]
Coordinates of the circumscribed circle: U[14.5; 5.05773603822]
Coordinates of the inscribed circle: I[13.5; 7.45881108681]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.6099216674° = 128°36'33″ = 0.89769383742 rad
∠ B' = β' = 122.1632855763° = 122°9'46″ = 1.00994485969 rad
∠ C' = γ' = 109.2287927563° = 109°13'41″ = 1.23552056825 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    