memeshetworth11 memeshetworth11

02-03-2021
Mathematics

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The hypotenuse of a right triangle is 13 inches long. The shorter leg is 7 inches shorter than the longer leg. Find the side lengths of the triangle.

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andrewyang1818 andrewyang1818

02-03-2021

Answer:

5 and 12 inches

Step-by-step explanation:

Let the shorter leg be x.

13²=x²+(x+7)²

169=x²+x²+14x+49

169=2x²+14x+49

120=2x²+14x

120=2x(x+7)

60=x(x+7)

60=x²+7x

x=5

shorter length=5, longer length=12

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