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

`\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