$\"\"$

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A $\"\"$ ladder leans against a building so that the top is $\"\"$ above the ground.

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Find the distance from the base of the wall is the bottom of the ladder.

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$\"\"$

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Pythagorean theorem:

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If a triangle is a right triangle, then the sum of the squares of the lengths of the legs $\"\"$ and $\"\"$ equals the square of the length of the hypotenuse $\"\"$ .

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The expression is: $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Evaluate power: $\"\"$ and $\"\"$ )

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$\"\"$ (Subtract $\"\"$ from each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ )

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$\"\"$ (Apply square of each side)

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$\"\"$ (Cancel square and root)

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$\"\"$ (Substitute: $\"\"$ )

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$\"\"$

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The distance between from base of the wall to bottom of the ladder is $\"\"$ .