SOLUTION: Find the lengths of the sides of a triangle if the hypotenuse is 10 centimeters longer than the shorter leg and 5 centimeters longer than the longer leg. i am having a hard time wi

Question 965851: Find the lengths of the sides of a triangle if the hypotenuse is 10 centimeters longer than the shorter leg and 5 centimeters longer than the longer leg. i am having a hard time with the '5 centimeters longer than the longer leg' part. Thank you in advance.
Shorter leg = x
Hypotenuse = x+10
Longer leg = ?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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c=hypotenuse; a=shorter leg=c-10cm; b=longer leg=c-5cm

Subtract c^2 from each side.

ANSWER 1: The hypotenuse is 25 centimeters.
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a=c-10cm=25cm-10cm=15 cm
ANSWER 2: The shorter leg is 15 centimeters.
.
b=c-5cm=25cm-5cm=20 cm
ANSWER 3: The longer leg is 20 centimeters.
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CHECK:

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