SOLUTION: The shortest leg of a triangle is 7 inches shorter than the other leg. The hypotenuse of this triangle is 13 inches. What are the lengths of the two legs of this triangle?
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Question 468907: The shortest leg of a triangle is 7 inches shorter than the other leg. The hypotenuse of this triangle is 13 inches. What are the lengths of the two legs of this triangle?
Answer by Tatiana_Stebko(1539) (Show Source): You can put this solution on YOUR website!
Let x - the shortest leg of a triangle
The shortest leg of a triangle is 7 inches shorter than the other leg, then the other leg is inches. The hypotenuse of this triangle is 13 inches.
Use the Pythagorean theorem
Divide by 2
inches
extraneous root
the shortest leg of a triangle is 5 inches, the other leg is 5+7=12 inches
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