Justine wants to put a deck in the corner of her backyard in the shape of a right triangle, as shown in the given figure. The hypotenuse will be 17 feet long. The length of one side will be 7 feet less than the length of the other side. Find the lengths of the sides of the deck.

Use the Pythagorean Theorem: In any right triangle, where \(a\) and \(b\) are the lengths of the legs and \(c\) is the length of the hypotenuse, as shown in the given figure, \(a^{2}+b^{2}=c^{2}\).

Transcribed Image Text:

X-7 17 X