36 43.5 55.5 triangle

Acute scalene triangle.

Sides: a = 36   b = 43.5   c = 55.5

Area: T = 782.5344344294
Perimeter: p = 135
Semiperimeter: s = 67.5

Angle ∠ A = α = 40.41107591034° = 40°24'39″ = 0.70553007996 rad
Angle ∠ B = β = 51.56553491823° = 51°33'55″ = 0.98999851232 rad
Angle ∠ C = γ = 88.02438917143° = 88°1'26″ = 1.53663067308 rad

Height: ha = 43.47441302386
Height: hb = 35.97985905423
Height: hc = 28.19994358304

Median: ma = 46.5
Median: mb = 41.41333130768
Median: mc = 28.70664888135

Vertex coordinates: A[55.5; 0] B[0; 0] C[22.37883783784; 28.19994358304]
Centroid: CG[25.95994594595; 9.43998119435]
Coordinates of the circumscribed circle: U[27.75; 0.95774659636]
Coordinates of the inscribed circle: I[24; 11.5933101397]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 139.5899240897° = 139°35'21″ = 0.70553007996 rad
∠ B' = β' = 128.4354650818° = 128°26'5″ = 0.98999851232 rad
∠ C' = γ' = 91.97661082857° = 91°58'34″ = 1.53663067308 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    