
Mark M. answered 01/26/15
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Use the Pythagorean Theorem: a2 + b2 = c2
302 + 302 = c2
900 + 900 = c2
1800 = c2
√(2 9 100) = c
30√2 = c
The hypotenuse measures 30√2 feet.

Mark M.
I think of the √ (square root) as a container. The only number allowed out are perfect squares.
√1800 = √2·9·100 = √2 · 32 · 102.
The 32 can come out as 3, and the 102 can come out as 10. 3 · 10 = 30.
Since 2 is not a perfect square, it must remain under the radical.
√2 ≈ 1.41, so 30√2 ≈ 42.4.
The third side is approximately 42.4. feet.
Please send a comment if my explanation needs more.
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01/27/15
GW I.
01/27/15