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 the exercise

asked Jun 17, 2021 177k views

3 votes

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1 vote

Answer:

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

Explanation:

Hello,

BMN and NPC are two similar triangles so

$(BM)/(MN)=(NP)/(PC)\\\\ (10-x)/(x)=(x)/(15-x)\\\\<=>(15-x)(10-x)=x^2\\\\<=>150-25x+x^2=x^2\\\\<=>25x=150\\\\<=>x=6$

espero que esto ayude

Yakunins answered Jun 22, 2021

4.9k points

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