SOLUTION: If … Leg a= x ft Leg b= 30 ft Leg c= (x + 10) ft What is the hypotenuse (Leg c)? Thank you, G

Algebra ->  Pythagorean-theorem -> SOLUTION: If … Leg a= x ft Leg b= 30 ft Leg c= (x + 10) ft What is the hypotenuse (Leg c)? Thank you, G      Log On


   

Question 1021293: If …
Leg a= x ft
Leg b= 30 ft
Leg c= (x + 10) ft
What is the hypotenuse (Leg c)?
Thank you,
G
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
a%5E2%2Bb%5E2=c%5E2
x%5E2%2B%2830ft%29%5E2=%28x%2B10ft%29%5E2}
x%5E2%2B900ft%5E2=x%5E2%2B20x%2B100ft%5E2
x%5E2%2B800ft%5E2=x%5E2%2B20x
800ft%5E2=20x
40ft=x
Leg c(hypotenuse)=(x+10)ft=(40+10)ft=50ft
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ANSWER: leg c=50 feet
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CHECK:
a%5E2%2Bb%5E2=c%5E2
%2840ft%29%5E2%2B%2830ft%29%5E2=%2850ft%29%5E2
1600ft%5E2%2B900ft%5E2=2500ft%5E2
2500ft%5E2=2500ft%5E2
.