# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 4.4722135955   b = 6.70882039325   c = 5.38551648071

Area: T = 12
Perimeter: p = 16.56655046946
Semiperimeter: s = 8.28327523473

Angle ∠ A = α = 41.63435393366° = 41°38'1″ = 0.72766423407 rad
Angle ∠ B = β = 85.23663583093° = 85°14'11″ = 1.48876550949 rad
Angle ∠ C = γ = 53.13301023542° = 53°7'48″ = 0.9277295218 rad

Height: ha = 5.3676563146
Height: hb = 3.5787708764
Height: hc = 4.45766881162

Median: ma = 5.65768542495
Median: mb = 3.64400549446
Median: mc = 5.02549378106

Inradius: r = 1.44987937701
Circumradius: R = 3.36657280045

Vertex coordinates: A[-3; 0] B[2; 2] C[0; 6]
Centroid: CG[-0.33333333333; 2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.12107328142; 1.44987937701]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.3666460663° = 138°21'59″ = 0.72766423407 rad
∠ B' = β' = 94.76436416907° = 94°45'49″ = 1.48876550949 rad
∠ C' = γ' = 126.8769897646° = 126°52'12″ = 0.9277295218 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    