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  "lines" : [
    {
      "id" : "EA302072-EA74-5FEC-9B5A-94510EA14368",
      "source" : "# Law of cosines"
    },
    {
      "id" : "C11D94E8-5FE7-5A03-B15D-8164E85EF3EF",
      "source" : "\/\/ Sides 5 cm and 7 cm with a 60° angle between them."
    },
    {
      "id" : "37550E36-632D-572C-B442-C124764AF3BA",
      "source" : "b = 5 cm"
    },
    {
      "id" : "E9CE4A9E-36FC-5D0D-94BB-7E71D2472BC4",
      "source" : "c = 7 cm"
    },
    {
      "id" : "48CA366D-5A2C-58BE-B3B4-CDAC1AB4F58C",
      "source" : "angle A = 60°"
    },
    {
      "id" : "6AC20E9A-5D1B-5ACC-8F8C-D32A3C537378",
      "source" : "a = sqrt(b² + c² - 2*b*c*cosd(angle A)) in cm"
    },
    {
      "id" : "F3521DF8-6C1E-5220-A779-68F5C6FB79F3",
      "source" : ""
    },
    {
      "id" : "92CC5F25-6C60-596F-9042-4BC09415FF57",
      "source" : "# Find the angle from three sides"
    },
    {
      "id" : "5F0CF441-B662-5188-9B79-8CB770B043F6",
      "source" : "\/\/ Solve the law for cos A, then take the inverse cosine."
    },
    {
      "id" : "5A58717D-614D-5DD6-AB50-06B2031FCE54",
      "source" : "acosd((b² + c² - a²)\/(2*b*c))"
    },
    {
      "id" : "78ABADE9-71FC-59B9-92BF-05B9A1F5CEEF",
      "source" : ""
    },
    {
      "id" : "BF488469-15AF-55BB-A87C-AB4BB330B069",
      "source" : "# Check with a right triangle"
    },
    {
      "id" : "52E2C285-DEF0-5F81-AD82-B86D614F9D52",
      "source" : "\/\/ At 90° the cosine is 0, and the law becomes the Pythagorean theorem."
    },
    {
      "id" : "B0331FD1-1A1D-5BBF-9868-58F0FCBE64EA",
      "source" : "leg one = 3 cm"
    },
    {
      "id" : "FF38C3FB-A722-5B2E-8B51-B2C2FC85CD49",
      "source" : "leg two = 4 cm"
    },
    {
      "id" : "912F904F-BA1F-5D0C-BA05-69B26E0CEAAF",
      "source" : "right angle = 90°"
    },
    {
      "id" : "8A625E79-5F08-503A-AFFB-032EEBF53B77",
      "source" : "hypotenuse = sqrt(leg one² + leg two² - 2*leg one*leg two*cosd(right angle)) in cm"
    },
    {
      "id" : "2ADD7FEF-4AED-5A6A-BCEC-77EEC43B8EAB",
      "source" : "hypotenuse == 5 cm"
    }
  ],
  "numberStyle" : {
    "decimal" : ".",
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    "secondaryGroupSize" : 3
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  "title" : "Law of cosines"
}