anonymous
  • anonymous
IF triangle ABC and triangle PQR are similar triangles, find QR and PR QR= PR=
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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mathstudent55
  • mathstudent55
Since the triangles are similar, corresponding sides have proportional lengths. First, you need to find a pair of sides, one side in triangle ABC and one side in triangle PQR, that are corresponding sides and that you know both lengths.
mathstudent55
  • mathstudent55
Can you name such a pair of sides?

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anonymous
  • anonymous
IDK
mathstudent55
  • mathstudent55
The way similar triangles are named tells you which sides are corresponding sides. |dw:1436546032187:dw|
mathstudent55
  • mathstudent55
|dw:1436546082939:dw|
anonymous
  • anonymous
A/B=P/Q
mathstudent55
  • mathstudent55
We have the lengths of both sides AB and PQ. |dw:1436546118626:dw|
anonymous
  • anonymous
ok
mathstudent55
  • mathstudent55
|dw:1436546158422:dw|
anonymous
  • anonymous
so how do i find QR AND PR
mathstudent55
  • mathstudent55
We have the length of side BC, and we are looking for the length of side QR. We can set up a proportion: \(\dfrac{AB}{PQ} = \dfrac{BC}{QR} \) Now we fill in all the lengths we know: \(\dfrac{15}{18} = \dfrac{25}{x} \) We can cross multiply and solve for x. x is the length of side QR.
mathstudent55
  • mathstudent55
\(15x = 25 \times 18\) \(15x = 450\) \(x = 30\) Since x = QR, we now have QR = 30
mathstudent55
  • mathstudent55
Now we do a similar proportion to find PR.
mathstudent55
  • mathstudent55
|dw:1436546418171:dw|