Mathematics
Grade9
Easy

Question

To find the value of p, which statements can be used?

  1. fraction numerator 16.5 over denominator 11 end fraction equals P over 29
  2. fraction numerator 16.5 over denominator P end fraction equals 11 over 18
  3. fraction numerator 16.5 over denominator 29 end fraction equals P over 11
  4. fraction numerator 16.5 over denominator 11 end fraction equals 29 over P

hintHint:

the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

The correct answer is: fraction numerator 16.5 over denominator P end fraction equals 11 over 18


    By angle bisector theorem statement, we have
    16.5/11 = p/29.
    Hence, the correct option is D.

    Her, the value of p is 43.5.

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