Triangle calculator VC

Please enter the coordinates of the three vertices

Acute scalene triangle.

Sides: a = 87.00657469366   b = 92.91439386745   c = 68.24222156733

Area: T = 2829.5
Perimeter: p = 248.1621901284
Semiperimeter: s = 124.0810950642

Angle ∠ A = α = 63.18884386674° = 63°11'18″ = 1.10328463039 rad
Angle ∠ B = β = 72.38328963895° = 72°22'58″ = 1.26333198641 rad
Angle ∠ C = γ = 44.42986649431° = 44°25'43″ = 0.77554264855 rad

Height: ha = 65.04216805699
Height: hb = 60.90658240425
Height: hc = 82.92552090391

Median: ma = 68.93883782809
Median: mb = 62.89107783383
Median: mc = 83.29901554807

Inradius: r = 22.80436615238
Circumradius: R = 48.74329982322

Vertex coordinates: A[707; 518] B[668; 574] C[615; 505]
Centroid: CG[663.3333333333; 532.3333333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[7.24112404592; 22.80436615238]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 116.8121561333° = 116°48'42″ = 1.10328463039 rad
∠ B' = β' = 107.617710361° = 107°37'2″ = 1.26333198641 rad
∠ C' = γ' = 135.5711335057° = 135°34'17″ = 0.77554264855 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     