When first learning about geometry in school, it's not uncommon to wonder how the math we are learning will ever come into play in our outside lives. One common question about geometry is how do architects use the Pythagorean Theorem. Typically, the Pythagorean Theorem is used by many different architects, carpenters, and contractors for their calculations during work on a daily basis. During their workday, architects find themselves using a special type of right triangle where the lengths of the triad are always integers.

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In mathematics, the Pythagorean theorem—or Pythagoras' theorem—is a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle...