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Zepler [3.9K]
3 years ago
5

I need help with this exercise please. What I need to know is the measure of one side of the square. Sorry for the language of t

he exercise

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

\boxed{\sf \ \ x=6 \ \ }

Step-by-step explanation:

Hello,

BMN and NPC are two similar triangles so

\dfrac{BM}{MN}=\dfrac{NP}{PC}\\\\ \dfrac{10-x}{x}=\dfrac{x}{15-x}\\\\(15-x)(10-x)=x^2\\\\150-25x+x^2=x^2\\\\25x=150\\\\x=6

espero que esto ayude

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