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if you cut the figure up like this
|dw:1353204276912:dw|

mmmhhhmmm

you'll see that 2 triangles form

yes

namely, the smaller triangles inside the larger ones

highlighted here|dw:1353204485777:dw|

ohk

so if we know this
|dw:1353204546161:dw|

then we can say this as well
|dw:1353204577254:dw|

ohk yes i see that

so then can we say that the other side is 9 as well?

let me think, I'm looking for justification that the two larger triangles are congruent

ohk

oh wait, not sure why i didn't see this til now lol

|dw:1353204871377:dw|

the smaller two triangles in the lower right corner are isosceles triangles

you have to draw another line to see this if you can't

so that's why we can add the extra 9 on there
the 6 comes from the fact that 9+6 = 15

so to finish things off, we get this full picture
|dw:1353204976827:dw|

ohk why did u choose 9 and 6... those arent the only things that add together to get 15

yes, but the 9 is locked in, which is why the second segment has to be a 6

i get it so 58 is the answer

yep

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