A 12 foot ladder is three and a half feet from a wall. How high on the wall does the ladder touch?
A right triangle is formed, with one leg being 3.5 and the hypotenuse being 12.
Pythagorean Theorem a² + b² = c² {the sum of the squares of the legs is equal to the square of the hypotenuse} a and b are the legs c is the hypotenuse {the side across from the right angle} 3.5² + b² = 12² {substituted into the Pythagorean Theorem} 12.25 + b² = 144 {evaluated exponents} b² = 131.75 {subtracted 12.25 from each side} b ≈ 11.48 {took square root of each side and rounded} The ladder touches approximately 11.48 feet up the wall. Ask the House
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