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Mathematics 15 Online
OpenStudy (anonymous):

In the figure below, triangle ABC is similar to triangle PQR. What is the length of side PQ? 18 4 32 6

OpenStudy (anonymous):

OpenStudy (lgbasallote):

use ratio and proportion BC : QR = AB : PQ does that help?

OpenStudy (lgbasallote):

@courtneycara17 you there?

OpenStudy (anonymous):

no could you explain a little more please?

OpenStudy (lgbasallote):

what is the value of BC

OpenStudy (anonymous):

8?

OpenStudy (lgbasallote):

right. and what is the value of QR

OpenStudy (anonymous):

24

OpenStudy (lgbasallote):

correct. and AB?

OpenStudy (anonymous):

6

OpenStudy (lgbasallote):

so now use proportions \[\huge \frac{ 8}{24} = \frac{6}{\ PQ}\] can you solve for PQ now?

OpenStudy (anonymous):

do i cross multiply?

OpenStudy (lgbasallote):

yup

OpenStudy (anonymous):

ok so 24x6=144

OpenStudy (lgbasallote):

then..?

OpenStudy (anonymous):

how do you cross multiply 8xpq?

OpenStudy (lgbasallote):

\[\huge \overline {PQ} \times 8 = 144\] now to isolat \(\overline {PQ}\) you have to divide both sides by 8

OpenStudy (anonymous):

18

OpenStudy (lgbasallote):

correct!

OpenStudy (anonymous):

oh wow that was easy haha

OpenStudy (lgbasallote):

indeed ^_^

OpenStudy (anonymous):

:3

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