13 27 29 triangle

Acute scalene triangle.

Sides: a = 13   b = 27   c = 29

Area: T = 174.9210517665
Perimeter: p = 69
Semiperimeter: s = 34.5

Angle ∠ A = α = 26.53882846718° = 26°32'18″ = 0.46331804454 rad
Angle ∠ B = β = 68.11990638941° = 68°7'9″ = 1.18989019483 rad
Angle ∠ C = γ = 85.34326514341° = 85°20'34″ = 1.49895102599 rad

Height: ha = 26.91108488715
Height: hb = 12.95770753826
Height: hc = 12.06334839769

Median: ma = 27.25334401498
Median: mb = 17.96552442232
Median: mc = 15.45215371404

Vertex coordinates: A[29; 0] B[0; 0] C[4.84548275862; 12.06334839769]
Centroid: CG[11.28216091954; 4.02111613256]
Coordinates of the circumscribed circle: U[14.5; 1.18112507918]
Coordinates of the inscribed circle: I[7.5; 5.07701599323]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 153.4621715328° = 153°27'42″ = 0.46331804454 rad
∠ B' = β' = 111.8810936106° = 111°52'51″ = 1.18989019483 rad
∠ C' = γ' = 94.65773485659° = 94°39'26″ = 1.49895102599 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    