averyrogerss3481 averyrogerss3481
  • 12-04-2021
  • Mathematics
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Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary

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akposevictor
akposevictor akposevictor
  • 13-04-2021

*see attachement for the triangles given

Answer:

PQ = 6.8

Step-by-step explanation:

Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:

LN/OQ = MN/PQ

LN = 5

OQ = 17

MN = 2

PQ = ?

Plug in the values

5/17 = 2/PQ

Cross multiply

5*PQ = 2*17

5*PQ = 34

PQ = 34/5

PQ = 6.8

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