Mathematics
Grade9
Easy

Question

In a triangle ABC - D, E, F are mid points.

If AB = 3x +15, DE = 5x + 4, what is the length of AB?

  1. 24
  2. 16
  3. 18
  4. 21

hintHint:

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: 18


    Step 1 of 1:
    We have triangle ABC and DEF
    Now, using midpoint theorem we can that
    DE =  1 halfAB
    AB = 2 DE
    3x + 15 = 2(5x + 4)
    3x + 15 = 10x + 8
    7x = 7
    x=1
    AB = 3(1) + 15 = 18

    Linear equation in one variable can be solved using fundamental operations

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