# Triangle calculator VC

Please enter the coordinates of the three vertices

### Right scalene triangle.

Sides: a = 8.06222577483   b = 6.70882039325   c = 4.4722135955

Area: T = 15
Perimeter: p = 19.24325976358
Semiperimeter: s = 9.62112988179

Angle ∠ A = α = 90° = 1.57107963268 rad
Angle ∠ B = β = 56.3109932474° = 56°18'36″ = 0.98327937232 rad
Angle ∠ C = γ = 33.6990067526° = 33°41'24″ = 0.58880026035 rad

Height: ha = 3.72110420377
Height: hb = 4.4722135955
Height: hc = 6.70882039325

Median: ma = 4.03111288741
Median: mb = 5.59901699437
Median: mc = 7.07110678119

Inradius: r = 1.55990410696
Circumradius: R = 4.03111288741

Vertex coordinates: A[8; -4] B[4; -6] C[11; -10]
Centroid: CG[7.66766666667; -6.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[1.03993607131; 1.55990410696]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 90° = 1.57107963268 rad
∠ B' = β' = 123.6990067526° = 123°41'24″ = 0.98327937232 rad
∠ C' = γ' = 146.3109932474° = 146°18'36″ = 0.58880026035 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 ### 9. Inradius ### 10. Circumradius ### 11. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.