Triangle calculator VC

Please enter the coordinates of the three vertices

Right scalene triangle.

Sides: a = 33.43   b = 60.508   c = 69.1298741953

Area: T = 1011.391122
Perimeter: p = 163.0676741953
Semiperimeter: s = 81.53333709765

Angle ∠ A = α = 28.9220164281° = 28°55'13″ = 0.50547520869 rad
Angle ∠ B = β = 61.0879835719° = 61°4'47″ = 1.06660442399 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 60.508
Height: hb = 33.43
Height: hc = 29.26110914484

Median: ma = 62.77442725087
Median: mb = 45.08773531714
Median: mc = 34.56443709765

Inradius: r = 12.40546290235
Circumradius: R = 34.56443709765

Vertex coordinates: A[816.269; -21.696] B[755.761; -55.126] C[755.761; -21.696]
Centroid: CG[775.9330333333; -32.83993333333]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[6.85334201801; 12.40546290235]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.0879835719° = 151°4'47″ = 0.50547520869 rad
∠ B' = β' = 118.9220164281° = 118°55'13″ = 1.06660442399 rad
∠ C' = γ' = 90° = 1.57107963268 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     