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First draw a picture of what the word problem is depicting

|dw:1358904442079:dw|

that will help you visualize it much much much better

and now?

a^2+b^2=c^2 right?

yup!

let AC = x then BC = x+7 and AB = 13. for right angle triangle x^2+(x+7)^2 = 13^2
we will get x = 5

thank you! :)