14 17 20 triangle

Acute scalene triangle.

Sides: a = 14   b = 17   c = 20

Area: T = 117.0877307169
Perimeter: p = 51
Semiperimeter: s = 25.5

Angle ∠ A = α = 43.53111521674° = 43°31'52″ = 0.76597619325 rad
Angle ∠ B = β = 56.75554084441° = 56°45'19″ = 0.99105687457 rad
Angle ∠ C = γ = 79.71334393885° = 79°42'48″ = 1.39112619754 rad

Height: ha = 16.72767581669
Height: hb = 13.7754977314
Height: hc = 11.70987307169

Median: ma = 17.19901134377
Median: mb = 15.02549792013
Median: mc = 11.93773363863

Vertex coordinates: A[20; 0] B[0; 0] C[7.675; 11.70987307169]
Centroid: CG[9.225; 3.9032910239]
Coordinates of the circumscribed circle: U[10; 1.81548850216]
Coordinates of the inscribed circle: I[8.5; 4.59216591047]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.4698847833° = 136°28'8″ = 0.76597619325 rad
∠ B' = β' = 123.2454591556° = 123°14'41″ = 0.99105687457 rad
∠ C' = γ' = 100.2876560611° = 100°17'12″ = 1.39112619754 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    