Triangle calculator

You have entered side a, b and c.

Acute scalene triangle.

Sides: a = 32   b = 38   c = 46

Area: T = 601.5987872337
Perimeter: p = 116
Semiperimeter: s = 58

Angle ∠ A = α = 43.49878286118° = 43°29'52″ = 0.75991803267 rad
Angle ∠ B = β = 54.82442119874° = 54°49'27″ = 0.9576863009 rad
Angle ∠ C = γ = 81.67879594008° = 81°40'41″ = 1.42655493179 rad

Height: ha = 37.6599867021
Height: hb = 31.66330459125
Height: hc = 26.1566429232

Median: ma = 39.03884425919
Median: mb = 34.77106773014
Median: mc = 26.55218360947

Vertex coordinates: A[46; 0] B[0; 0] C[18.43547826087; 26.1566429232]
Centroid: CG[21.47882608696; 8.7198809744]
Coordinates of the circumscribed circle: U[23; 3.36443736008]
Coordinates of the inscribed circle: I[20; 10.37223771093]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.5022171388° = 136°30'8″ = 0.75991803267 rad
∠ B' = β' = 125.1765788013° = 125°10'33″ = 0.9576863009 rad
∠ C' = γ' = 98.32220405992° = 98°19'19″ = 1.42655493179 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 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. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines    