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Mathematics 12 Online
OpenStudy (julyahx1):

In the figure below, triangle ABC is similar to triangle PQR: What is the length of side PQ? 48 24 40 18

OpenStudy (julyahx1):

OpenStudy (mathmale):

Why not redraw the diagram, turning the 2nd (larger ) rectangle upside down, so that its side QR is on the bottom and its angle P is at the top? It'd be easier to compare the 2 triangles if you'd do that. What does "similar" mean in this context? Might be worth looking it up and reviewing this concept.

OpenStudy (julyahx1):

yes i know and i was thinking the answer was B. Just not 100% sure

OpenStudy (mathmale):

QR is how much longer than is side BC? (Multiplication)

OpenStudy (mathmale):

Looks like you've multiplied. Why? What you need to do is to set up a ratio of those 2 sides.

OpenStudy (julyahx1):

no i said 24 as in the answer not from what u asked lol

OpenStudy (julyahx1):

i think its 5 times longer

OpenStudy (lyss):

http://prntscr.com/dk0ujw

OpenStudy (mathmale):

Look, you wanted confirmation of the correctness of your problem. I much prefer not to give out direct answers. If you'd like to confirm your answer by working thru the problem again with guidance, great; otherwise ... You're saying that 2*5=12?

OpenStudy (julyahx1):

no then its 6

OpenStudy (julyahx1):

that link shows 24 for answer @lyss

OpenStudy (mathmale):

12 is howmany times 2? ^ is a lot better.

OpenStudy (julyahx1):

6

OpenStudy (mathmale):

side AB hs length 4. Which side in the larger triangle corresponds to side AB?

OpenStudy (julyahx1):

QP

OpenStudy (mathmale):

Exactly. Now, if you multiply that length, 4, by the factor you derived (6), what do you get and what does that represent?

OpenStudy (julyahx1):

24 so B is the answer

OpenStudy (mathmale):

Yes, my lady. Thanks for your patience.

OpenStudy (julyahx1):

No problem and thanks for helping me! (:

OpenStudy (mathmale):

Glad to.

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