Question

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

Answer 1

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