22 24 26 triangle

Acute scalene triangle.

Sides: a = 22   b = 24   c = 26

Area: T = 245.9276818383
Perimeter: p = 72
Semiperimeter: s = 36

Angle ∠ A = α = 52.02201275551° = 52°1'12″ = 0.90879225031 rad
Angle ∠ B = β = 59.30435587083° = 59°18'13″ = 1.03550423576 rad
Angle ∠ C = γ = 68.67663137365° = 68°40'35″ = 1.19986277928 rad

Height: ha = 22.35769834894
Height: hb = 20.49439015319
Height: hc = 18.91774475679

Median: ma = 22.47222050542
Median: mb = 20.88106130178
Median: mc = 19

Vertex coordinates: A[26; 0] B[0; 0] C[11.23107692308; 18.91774475679]
Centroid: CG[12.41102564103; 6.3065815856]
Coordinates of the circumscribed circle: U[13; 5.07546803793]
Coordinates of the inscribed circle: I[12; 6.83113005106]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 127.9879872445° = 127°58'48″ = 0.90879225031 rad
∠ B' = β' = 120.6966441292° = 120°41'47″ = 1.03550423576 rad
∠ C' = γ' = 111.3243686263° = 111°19'25″ = 1.19986277928 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    