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11y ago

If you draw a picture you will see that you have a right triangle with the ladder's length as the hypotenuse. Since we are trying to find the length, we label it as L.

The height 12 is given and the distance from the wall is L-3.

By the Pythagorean theorem:

(L-3)2 + 122 = L2

L2-6L +9 +144 = L2

L2-6L + 153 = L2

-6L + 153 = 0

153 = 6L

L = 153/6 = 25.5 ft

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Q: A ladder is resting against a wall the top of the ladder touches the wall at a height of 12 feet find the length of the ladder if the length is 3 feet more than its distance from the wall?
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