What have you done to solve the problem till now (that is, where are you stuck)?

Is there any option with only sqrt 5 or just the one with sqrt 5 * x?

I think this is a similar triangle problem and if you take a mirror image of the smaller triangle and compare it with the big triangle you’ll see it

Yes, the screenshot was cut off. See https://www.gregmat.com/problems/problem/sqrt2-fracr2x2sqrt1-fracr2x2-is-equal-to/

Thank you! The answer is indeed sqrt 5.

Ah! I see, I missed that it was a similar triangle , I was trying to solve some really weird equations !!

Thankyou!

No worries, whenever I see a weird problem I tell myself this “*Your mind is already so prodigiously empty that there is nothing in it to clear away in the first place.*”

It’s from the Lego movie and I am glad I could be of help!

Look at the diagram below, you’ll notice they are similar triangles. Now plug in any values you wish and figure out what the question is asking:

Edit: I apologize for my ugly handwriting

This is an amazing solution.