16 21 26 triangle

Acute scalene triangle.

Sides: a = 16   b = 21   c = 26

Area: T = 167.9187948713
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 37.95880285807° = 37°57'29″ = 0.66224925763 rad
Angle ∠ B = β = 53.83327560786° = 53°49'58″ = 0.9439558839 rad
Angle ∠ C = γ = 88.20992153407° = 88°12'33″ = 1.54395412383 rad

Height: ha = 20.99897435891
Height: hb = 15.99221855917
Height: hc = 12.91767652856

Median: ma = 22.23773559579
Median: mb = 18.86113361139
Median: mc = 13.3987761007

Vertex coordinates: A[26; 0] B[0; 0] C[9.44223076923; 12.91767652856]
Centroid: CG[11.81441025641; 4.30655884285]
Coordinates of the circumscribed circle: U[13; 0.40664485097]
Coordinates of the inscribed circle: I[10.5; 5.33107285306]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 142.0421971419° = 142°2'31″ = 0.66224925763 rad
∠ B' = β' = 126.1677243921° = 126°10'2″ = 0.9439558839 rad
∠ C' = γ' = 91.79107846593° = 91°47'27″ = 1.54395412383 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    