17 22 23 triangle

Acute scalene triangle.

Sides: a = 17   b = 22   c = 23

Area: T = 176.7711038352
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 44.32327781336° = 44°19'22″ = 0.77435784121 rad
Angle ∠ B = β = 64.71657088213° = 64°42'57″ = 1.13295021967 rad
Angle ∠ C = γ = 70.96215130451° = 70°57'41″ = 1.23985120448 rad

Height: ha = 20.79765927473
Height: hb = 16.07700943956
Height: hc = 15.37113946393

Median: ma = 20.83986659842
Median: mb = 16.97105627485
Median: mc = 15.94552187191

Vertex coordinates: A[23; 0] B[0; 0] C[7.26108695652; 15.37113946393]
Centroid: CG[10.08769565217; 5.12437982131]
Coordinates of the circumscribed circle: U[11.5; 3.96884102472]
Coordinates of the inscribed circle: I[9; 5.70222915597]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.6777221866° = 135°40'38″ = 0.77435784121 rad
∠ B' = β' = 115.2844291179° = 115°17'3″ = 1.13295021967 rad
∠ C' = γ' = 109.0388486955° = 109°2'19″ = 1.23985120448 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    