Question

What is the length of PR?A. 7B. 8C. 6D. 9

Answer 1

Giben the triangles:

ABC and PQR

Thiangle PQR is a reduction of triangle ABC, this means that the sides of triangle ABC were divided by a reduction factor to determine the side lengths of triangle PQR.

Using the lengths of sides AB and its correspoding side PQ you can calculate the used reduction factor k following the formula:

`PQ=(AB)/(k)`

Using this relationship you can determine the value of the reduction factor

`\begin{gathered} PQ=(AB)/(k) \\ k\cdot PQ=AB \\ k=(AB)/(PQ) \\ k=(20)/(5) \\ k=4 \end{gathered}`

The reduction factor is k=4

Now that we have determined the factor, we can calculate the length of PR as:

`\begin{gathered} PR=(AC)/(k) \\ x=(24)/(4) \\ x=6 \end{gathered}`

The length of PR=6, so the correct option is C.