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If EFGH is a rectangle, what is FH?
Using HG as a side and FG as a side, you can see that HFG forms a right triangle, correct? Then we just need to use the Pythagorean Theorem to find the hypotenuse, which is the length FH.
We get (HG)^2 + (FG)^2 = (FH)^2
7^2 + 4^2 = (FH)^2
sqrt(65) = FH
or FH ~8.06 units