SOLUTION: The foot of an extension ladder is 7 ft. from a wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the ladder?

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Question 186007: The foot of an extension ladder is 7 ft. from a wall. The height that the ladder reaches on the wall and the length of the ladder are consecutive integers. How long is the ladder?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
7%5E2%2Ba%5E2=%28a%2B1%29%5E2
:
49%2Ba%5E2=a%5E2%2B2a%2B1
:
2a=48
:
highlight%28a=24%29
:
a%2B1=highlight%2825%29ft......length of ladder