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anonymous
 one year ago
IF triangle ABC and triangle PQR are similar triangles, find QR and PR
QR=
PR=
anonymous
 one year ago
IF triangle ABC and triangle PQR are similar triangles, find QR and PR QR= PR=

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436545434224:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since 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
 one year ago
Best ResponseYou've already chosen the best response.1Can you name such a pair of sides?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The way similar triangles are named tells you which sides are corresponding sides. dw:1436546032187:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436546082939:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We have the lengths of both sides AB and PQ. dw:1436546118626:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436546158422:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so how do i find QR AND PR

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We 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
 one year ago
Best ResponseYou've already chosen the best response.1\(15x = 25 \times 18\) \(15x = 450\) \(x = 30\) Since x = QR, we now have QR = 30

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we do a similar proportion to find PR.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436546418171:dw