# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 7.81102496759   b = 9.05553851381   c = 8.06222577483

Area: T = 29.5
Perimeter: p = 24.92878925623
Semiperimeter: s = 12.46439462812

Angle ∠ A = α = 53.91549269571° = 53°54'54″ = 0.94109929914 rad
Angle ∠ B = β = 69.55504523892° = 69°33'2″ = 1.21438843904 rad
Angle ∠ C = γ = 56.53546206536° = 56°32'5″ = 0.98767152718 rad

Height: ha = 7.5544175916
Height: hb = 6.51554600384
Height: hc = 7.31880493408

Median: ma = 7.63221687612
Median: mb = 6.51992024052
Median: mc = 7.43330343737

Inradius: r = 2.36768266322
Circumradius: R = 4.8322217955

Vertex coordinates: A[8; -7] B[1; -3] C[7; 2]
Centroid: CG[5.33333333333; -2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.88325455239; 2.36768266322]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 126.0855073043° = 126°5'6″ = 0.94109929914 rad
∠ B' = β' = 110.4549547611° = 110°26'58″ = 1.21438843904 rad
∠ C' = γ' = 123.4655379346° = 123°27'55″ = 0.98767152718 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.