coordsIdentity.js

// Given 5 Points
const coordsA = [
  {x: 589.4542, y: 1250.2301},
  {x: 682.36816, y: 487.62726},
  {x: 904.16284, y: 836.44556}, 
  {x: 373.65402, y: 839.444},
  {x: 724.32935, y: 710.51117}
]

// Get SSS Of Triangle
// Input: Point Coordinates
function getTriangles(coords) {
  let triangles = []
  let ctr = 0
  
  for (i=0; i<coords.length - 2; i++) {
    let point1 = coords[i]
    
    for (j=i+1; j<coords.length - 1; j++) {
      let point2 = coords[j]
      
      for (k=j+1; k<coords.length; k++) {
        let point3 = coords[k]
        
        let side1 = Math.sqrt(Math.pow(point1.x - point2.x, 2) + Math.pow(point1.y - point2.y, 2))
        let side2 = Math.sqrt(Math.pow(point1.x - point3.x, 2) + Math.pow(point1.y - point3.y, 2))
        let side3 = Math.sqrt(Math.pow(point2.x - point3.x, 2) + Math.pow(point2.y - point3.y, 2))
        
        let sides = [side1, side2, side3]
        
        triangles.push(sides.sort((a, b) => (a - b))) // Sorting not necessary
      }
      
    }
  }
  
  return triangles
}

// Getting Area of each triangle
// Input: Array of sides/lines formed by coordinates
function getArea(sides) {
  let p = getPerimeter(sides);

  return Math.sqrt(p * (p - sides[0]) * (p - sides[1]) * (p - sides.get[2]));
}

function getPerimeter(sides) {
  let perimeter = 0.0;

  for(i=0; i < sides.length; i++) {
    perimeter += sides[i];
  }

   return perimeter / 2;
 }

// Mean and Variance
// Input: Array of Triangle Areas
function getMean(array) {
  let sum = 0
  
  for(i=0; i<array.length; i++) {
    sum += array[i]
  }
  
  return sum/array.length
}

function getVariance(array) {
  let mean = getMean(array)
  let sum = 0
  
  for(i=0; i<array.length; i++) {
    sum += Math.pow((mean - array[i]), 2)
  }
  
  return sum / array.length
}

// Comparing Mean and Variance
// Given 2 sets of triangle areas
const arr1 = [263.82097277861135, 333.78232568590397, 597.3546574254193]
const arr2 = [248.51006885764514, 343.4903046790758, 591.9754282979179]

console.log(getMean(arr1) / getMean(arr2)) // ~ 1.00
console.log(Math.sqrt(getVariance(arr1)) / Math.sqrt(getVariance(arr2))) // ~0.99