# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 7.07110678119   b = 8.12440384046   c = 3.74216573868

Area: T = 13.21993040664
Perimeter: p = 18.93767636033
Semiperimeter: s = 9.46883818016

Angle ∠ A = α = 60.43114994029° = 60°25'53″ = 1.05547286365 rad
Angle ∠ B = β = 92.16660928562° = 92°9'58″ = 1.6098601779 rad
Angle ∠ C = γ = 27.40224077409° = 27°24'9″ = 0.47882622381 rad

Height: ha = 3.73989838192
Height: hb = 3.25443676945
Height: hc = 7.0666015244

Median: ma = 5.24440442409
Median: mb = 3.9377003937
Median: mc = 7.38224115301

Vertex coordinates: A[2; -3; 4] B[-1; -2; 2] C[3; 1; -3]
Centroid: CG[1.33333333333; -1.33333333333; 1]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 119.5698500597° = 119°34'7″ = 1.05547286365 rad
∠ B' = β' = 87.83439071438° = 87°50'2″ = 1.6098601779 rad
∠ C' = γ' = 152.5987592259° = 152°35'51″ = 0.47882622381 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    