# Triangle calculator VC

Please enter the coordinates of the three vertices

### Obtuse scalene triangle.

Sides: a = 27.73108492477   b = 25.4955097568   c = 10.63301458127

Area: T = 135.5
Perimeter: p = 63.85660926284
Semiperimeter: s = 31.92880463142

Angle ∠ A = α = 90.63442447144° = 90°38'3″ = 1.58218659853 rad
Angle ∠ B = β = 66.827693099° = 66°49'37″ = 1.16663499748 rad
Angle ∠ C = γ = 22.53988242956° = 22°32'20″ = 0.39333766935 rad

Height: ha = 9.7732509943
Height: hb = 10.62994945245
Height: hc = 25.49435355332

Median: ma = 13.75768164922
Median: mb = 16.68883192683
Median: mc = 26.10107662723

Vertex coordinates: A[-5; 2] B[2; 10] C[14; -15]
Centroid: CG[3.66766666667; -1]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.81765846864; 4.24439176725]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 89.36657552856° = 89°21'57″ = 1.58218659853 rad
∠ B' = β' = 113.173306901° = 113°10'23″ = 1.16663499748 rad
∠ C' = γ' = 157.4611175704° = 157°27'40″ = 0.39333766935 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    