This is an infinite loop display
Answer
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Step by step explanation

The product of roots with the same index is equal to root of the product

Calculate the product

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The quotient will be lesser than the whole number because you're dividing in this problem.
Start by calling the shortest side

. We then know that the longer leg (call it

) is 7 feet longer i.e.

. We also know that the hypotenuse,

is 1 foot more than twice the short leg i.e.

. We now have 3 unknowns but only 2 equations to solve them. Luckily we know this is a right triangle so we can use the Pythagorean Theorem as our third equation:

Substituting known values:

This is now an equation in one variable and can be solved algebraically for

. Back-substitution can then be used for the other sides.