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The practical side of Pythagoras
Suppose you are building a patio and you want to make certain that the sides of your patio meet at right angles. Using the converse of the Pythagorean, give a practical and easy method to check that the angle between two adjacent sides is 90˚.
The converse of the Pythagorean Theorem: if a triangle has sides with lengths a, b, and c satisfying a2 + b2 = c2, then it is a right triangle.
Make a triangle out of two sides of your patio. Measure the lengths of the two sides and the diagonal. If they satisfy the Pythagorean Theorem, then your patio is true.
Make a triangle out of two sides of your patio. Measure the lengths of the two sides and the diagonal. If the length of the diagonal is greater than the length of any of the other two sides, your patio is true.
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Make a triangle out of two sides of your patio. Measure the lengths of the two sides and the diagonal. If the length of the diagonal is greater than the sum of the lengths of the other two sides, your patio is true. ?
