# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 9.89994949366   b = 11.04553610172   c = 7.21111025509

Area: T = 35
Perimeter: p = 28.15659585047
Semiperimeter: s = 14.07879792524

Angle ∠ A = α = 61.50443613818° = 61°30'16″ = 1.07334536104 rad
Angle ∠ B = β = 78.6990067526° = 78°41'24″ = 1.37334007669 rad
Angle ∠ C = γ = 39.80655710923° = 39°48'20″ = 0.69547382762 rad

Height: ha = 7.07110678119
Height: hb = 6.3387502223
Height: hc = 9.70772534339

Median: ma = 7.90656941504
Median: mb = 6.67108320321
Median: mc = 9.84988578018

Inradius: r = 2.48661522647
Circumradius: R = 5.63220511361

Vertex coordinates: A[-3; 1] B[1; 7] C[8; 0]
Centroid: CG[2; 2.66766666667]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.49772304529; 2.48661522647]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 118.4965638618° = 118°29'44″ = 1.07334536104 rad
∠ B' = β' = 101.3109932474° = 101°18'36″ = 1.37334007669 rad
∠ C' = γ' = 140.1944428908° = 140°11'40″ = 0.69547382762 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.