Mathematics
Grade9
Easy

Question

If the midpoints of each side of a triangle are (5, 2), (12, 4), (9, 9) and forms a triangle. Find the perimeter of the original triangle

  1. 40.5
  2. 41.3
  3. 42.4
  4. 43.5

Hint:

the midpoint theorem refers to the midpoint of the line segment. It defines the coordinate points of the midpoint of the line segment and can be found by taking the average of the coordinates of the given endpoints. 

The correct answer is: 42.4


    Perimeter = AB + BC +AC = square root of 53 plus square root of 34 plus square root of 65 equals 21.2
    Perimeter of original triangle = 2 cross times 21.2 equals 42.4

    Linear equation in one variable can be solved using fundamental operations

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