Mathematics
Grade9
Easy

Question

The line DE is parallel to AC If BC = 18, BE = 6, DC = 16, and AD = 8.Find EC.

  1. 12
  2. 18
  3. 24
  4. 30

hintHint:

If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.

The correct answer is: 12


    fraction numerator C E over denominator B E end fraction equals fraction numerator C D over denominator A D end fraction
fraction numerator E C over denominator 6 end fraction equals 16 over 8
E C equals fraction numerator 16 cross times 6 over denominator 8 end fraction equals 12
    Hence, the correct option is D.

    It is also called basic proportionality theorem.

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