# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 5.09990195136   b = 4.4722135955   c = 3.16222776602

Area: T = 7
Perimeter: p = 12.73334331288
Semiperimeter: s = 6.36767165644

Angle ∠ A = α = 81.87698976458° = 81°52'12″ = 1.42988992722 rad
Angle ∠ B = β = 60.25551187031° = 60°15'18″ = 1.05216502125 rad
Angle ∠ C = γ = 37.87549836511° = 37°52'30″ = 0.66110431689 rad

Height: ha = 2.74656258919
Height: hb = 3.13304951685
Height: hc = 4.42771887242

Median: ma = 2.91554759474
Median: mb = 3.60655512755
Median: mc = 4.52876925691

Inradius: r = 1.09994678229
Circumradius: R = 2.57553937682

Vertex coordinates: A[1; 1] B[4; 0] C[3; 5]
Centroid: CG[2.66766666667; 2]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.62882673274; 1.09994678229]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 98.13301023542° = 98°7'48″ = 1.42988992722 rad
∠ B' = β' = 119.7454881297° = 119°44'42″ = 1.05216502125 rad
∠ C' = γ' = 142.1255016349° = 142°7'30″ = 0.66110431689 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    