Triangle calculator VC

Please enter the coordinates of the three vertices

Acute scalene triangle.

Sides: a = 8.06222577483   b = 6.40331242374   c = 8.24662112512

Area: T = 24
Perimeter: p = 22.7121593237
Semiperimeter: s = 11.35657966185

Angle ∠ A = α = 65.37664352138° = 65°22'35″ = 1.14110340477 rad
Angle ∠ B = β = 46.21988752351° = 46°13'8″ = 0.80766715494 rad
Angle ∠ C = γ = 68.4054689551° = 68°24'17″ = 1.19438870565 rad

Height: ha = 5.95436672603
Height: hb = 7.49663405707
Height: hc = 5.82108550009

Median: ma = 6.18546584384
Median: mb = 7.5
Median: mc = 6

Inradius: r = 2.11334580696
Circumradius: R = 4.4344369005

Vertex coordinates: A[-2; 5] B[-4; -3] C[3; 1]
Centroid: CG[-1; 1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[2.02553973167; 2.11334580696]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 114.6243564786° = 114°37'25″ = 1.14110340477 rad
∠ B' = β' = 133.7811124765° = 133°46'52″ = 0.80766715494 rad
∠ C' = γ' = 111.5955310449° = 111°35'43″ = 1.19438870565 rad

How did we calculate this triangle?

1. We compute side a from coordinates using the Pythagorean theorem 2. We compute side b from coordinates using the Pythagorean theorem 3. We compute side c from coordinates using the Pythagorean theorem 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area using Heron's formula 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle using a Law of Cosines     