How to find the lenght of NO? "Given that MN = 12, OP = 24, OQ = 10, what is shaded area?"

[Vijlak]

Please help me find the lenght of NO in the following:

 

[topsquark]

Please help me find the lenght of NO in the following:
View attachment 36798

What do you know about the triangles PNM and POQ?

-dan

 

[stapel]

Please help me find the lenght of NO in the following:
View attachment 36798

What have you tried? Where are you stuck? For instance, you labelled the picture with the given lengths, applied what you know about similar triangles and the ratios of their sides, and... then what?

Please be complete. Thank you!

 

[Vijlak]

I tried finding the lenght of NO by applying formulas of trapezoid and pythogeron theorem. I think mu approach is wrong.

 

[Dr.Peterson]

I tried finding the lenght of NO by applying formulas of trapezoid and pythogeron theorem. I think mu approach is wrong.

Please show your actual work, so we can be sure what you have done, and whether any of it was wrong.

Have you considered using similar triangles?

 

[Vijlak]

I am considering another approach now, similarity and proportionality formulas for triangles. Above comments helped.