Pythagorean Theorem.

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Presentation transcript:

Pythagorean Theorem

legs Hypotenuse—longest side!

Find the value of x. 5 x 13 a = 5 Pythagorean Theorem: b = x c = 13 Pythagorean Theorem: a2 + b2 = c2 52 + x2 = 132 Write equation plugging in a, b, and c. 25 + x2 = 169 simplify x2 = 144 Subtract 25 to the other side Take the square root of both sides x = 12

Find the value of x. x 20 15 a = 20 Pythagorean Theorem: b = 15 c = x Pythagorean Theorem: a2 + b2 = c2 202 + 152 = x2 Write equation plugging in a, b, and c. 400 + 225 = x2 Square the terms 625 = x2 Combine like terms Take the square root of both sides 25 = x

When all side lengths of a right triangle are whole numbers. Pythagorean Triples When all side lengths of a right triangle are whole numbers.

Common Pythagorean Triples: 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25

Pythagorean Triples Worksheet Homework Pythagorean Triples Worksheet