help with PS geometry question

how would one solve this question algebraically? i was able to guess it correctly using reasoning (i narrowed it down to root 2 and root 3, since i plugged in some numbers and tried to approximate, so i knew it would be somewhere close to 1.5s. i then guessed).

but i can't figure out how to actually solve it.

thanks!

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givemeanid: Master | Next Rank: 500 Posts; Posts: 277; Joined: Sun Jun 17, 2007 2:51 pm; Location: New York, NY; Thanked: 6 times; Followed by:1 members

by givemeanid » Sat Sep 15, 2007 1:19 pm

Use the property that ratio of area of two similar triangles is equal to the square of ratio of corresponding lengths (sides).

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