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2. Justine wants to put a deck in the corner of her backyard in the shape of a right triangle. The length of one side of the deck is 7 feet more than the other side. The hypotenuse is 13. Find the lengths of the two sides of the deck.
2. Justine wants to put a deck in the corner of her backyard in the shape of a right triangle. The length of one side of the deck is 7 feet more than the other side. The hypotenuse is 13. Find the lengths of the two sides of the deck.
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Answer:
x^2+(x+7)^2=13^2
x^2+x^2+14x+49=169
2x^2+14x-120=0
x^2+7x-60=0
factor
(x-5)(x+12)=0
x-5=0
x=5 feet
x+7=12 feet
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