# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 9.96989575884   b = 100.000015101   c = 1.60553220549

Area: T = 7.987672451
Perimeter: p = 21.57442947443
Semiperimeter: s = 10.78771473722

Angle ∠ A = α = 84.28548686825° = 84°17'6″ = 1.47110484681 rad
Angle ∠ B = β = 86.4954789245° = 86°29'41″ = 1.51096188581 rad
Angle ∠ C = γ = 9.22203420724° = 9°13'13″ = 0.16109253273 rad

Height: ha = 1.60223188862
Height: hb = 1.59773424899
Height: hc = 9.95503080837

Median: ma = 5.14223391185
Median: mb = 5.09769119715
Median: mc = 9.95221828754

Vertex coordinates: A[23.4091; 103.1765] B[25; 102.9618] C[23.0652; 93.1824]
Centroid: CG[23.82547666667; 99.77435666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.04553519409; 0.7440392639]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 95.71551313175° = 95°42'54″ = 1.47110484681 rad
∠ B' = β' = 93.5055210755° = 93°30'19″ = 1.51096188581 rad
∠ C' = γ' = 170.7879657928° = 170°46'47″ = 0.16109253273 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    