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Well this is a very simple problem if you read it correctly. Using the Pythagorean Theorem, you can solve it very quickly.

The problem creates a triangle. The 8 feet forms the smallest leg, the 10 feet forms the larger leg, and the length of the stair stringer forms the hypotenuse, or in this case x.

(When I first read the problem, I made the mistake of thinking of it as a Pythagorean Triple, and 6 feet quickly popped into my head from a 3,4,5 triangle. But the problem, if not read carefully can throw you off as to which numbers go to which sides.)

Using the Pythagorean Theorem, you conclude to...

82 + 102 = x2

64 + 100 = x2

164 = x2

2 square roots of 41 = x, or approximately 12.81 feet.

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Q: A stair stringer is 8 feet high and extends 10 feet from the wall how long is the stair stringer?
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