3.8 4.1 5.2 triangle

Acute scalene triangle.

Sides: a = 3.8   b = 4.1   c = 5.2

Area: T = 7.71985713542
Perimeter: p = 13.1
Semiperimeter: s = 6.55

Angle ∠ A = α = 46.3911421996° = 46°23'29″ = 0.81096830585 rad
Angle ∠ B = β = 51.3743507486° = 51°22'25″ = 0.89766368539 rad
Angle ∠ C = γ = 82.2355070518° = 82°14'6″ = 1.43552727411 rad

Height: ha = 4.06224059759
Height: hb = 3.76551567582
Height: hc = 2.96986812901

Median: ma = 4.28796027853
Median: mb = 4.06766325135
Median: mc = 2.97774149862

Inradius: r = 1.17884078403
Circumradius: R = 2.62440607323

Vertex coordinates: A[5.2; 0] B[0; 0] C[2.37221153846; 2.96986812901]
Centroid: CG[2.52440384615; 0.998956043]
Coordinates of the circumscribed circle: U[2.6; 0.35545345213]
Coordinates of the inscribed circle: I[2.45; 1.17884078403]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.6098578004° = 133°36'31″ = 0.81096830585 rad
∠ B' = β' = 128.6266492514° = 128°37'35″ = 0.89766368539 rad
∠ C' = γ' = 97.7654929482° = 97°45'54″ = 1.43552727411 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     