Triangle calculator VC
Acute scalene triangle.
Sides: a = 7.21111025509 b = 12.64991106407 c = 12.80662484749Area: T = 44
Perimeter: p = 32.66664616665
Semiperimeter: s = 16.33332308332
Angle ∠ A = α = 32.9055242923° = 32°54'19″ = 0.57443048302 rad
Angle ∠ B = β = 72.35498757801° = 72°21' = 1.26327435458 rad
Angle ∠ C = γ = 74.74548812969° = 74°44'42″ = 1.30545442776 rad
Height: ha = 12.2033404317
Height: hb = 6.95770108524
Height: hc = 6.87216455231
Median: ma = 12.20765556157
Median: mb = 8.24662112512
Median: mc = 8.06222577483
Inradius: r = 2.69438944566
Circumradius: R = 6.63769862722
Vertex coordinates: A[2; 0] B[-6; 10] C[-10; 4]
Centroid: CG[-4.66766666667; 4.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.85771482362; 2.69438944566]
Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.0954757077° = 147°5'41″ = 0.57443048302 rad
∠ B' = β' = 107.655012422° = 107°39' = 1.26327435458 rad
∠ C' = γ' = 105.2555118703° = 105°15'18″ = 1.30545442776 rad
Calculate another triangle
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

9. Inradius

10. Circumradius
