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------------------------------------------------ question 5. determine the missing side QP. triangles are not drawn to scale.

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Answer :

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional

In this problem

triangle ABC is similar to triangle PQR

that means

AB/PQ=BC/QR=AC/PR

so

AB/PQ=AC/PR

we have

AB=3.1 cm

PQ=QP=?

AC=9.8 cm

PR=RP=2.7 in

substitute given values

3.1/QP=9.8/2.7

Solve for QP

QP=(3.1*2.7)/9.8

QP=0.85 in

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