# Triangle calculator VC

Please enter the coordinates of the three vertices

### Acute scalene triangle.

Sides: a = 7.61657731059   b = 7.81102496759   c = 3.60655512755

Area: T = 13.5
Perimeter: p = 19.03215740572
Semiperimeter: s = 9.51657870286

Angle ∠ A = α = 73.49656386182° = 73°29'44″ = 1.28327408797 rad
Angle ∠ B = β = 79.50985229877° = 79°30'31″ = 1.38876855095 rad
Angle ∠ C = γ = 26.99658383941° = 26°59'45″ = 0.47111662643 rad

Height: ha = 3.54552736872
Height: hb = 3.45769957582
Height: hc = 7.4888452649

Median: ma = 4.74334164903
Median: mb = 4.5
Median: mc = 7.5

Inradius: r = 1.41986950548
Circumradius: R = 3.97215207012

Vertex coordinates: A[9; -3] B[11; -6] C[4; -9]
Centroid: CG[8; -6]
Coordinates of the circumscribed circle: U[0; 0]
Coordinates of the inscribed circle: I[0.26327213064; 1.41986950548]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 106.5044361382° = 106°30'16″ = 1.28327408797 rad
∠ B' = β' = 100.4911477012° = 100°29'29″ = 1.38876855095 rad
∠ C' = γ' = 153.0044161606° = 153°15″ = 0.47111662643 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.