 # Pythagorean Theorem Formula: a2 + b2 = c2 This formula helps determine two things: the lengths of the different sides of a right triangle, and whether.

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Pythagorean Theorem Formula: a2 + b2 = c2 This formula helps determine two things: the lengths of the different sides of a right triangle, and whether the triangle is a right triangle a b c a, b - legs of triangle c - hypotenuse (longest side)

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Examples: Find the missing length in each right triangle. steps. 1.) 5 ft 12 ft c ft 2.) 12 m 20 m b m

3.) 2 4 Find the missing length in each right triangle. steps.

4.) A ladder that is 15 feet long is placed against a wall. The bottom of the ladder is 5 feet from the wall. How far up the wall does the ladder reach?

Examples: Determine if the following triangles are right triangles 4.) 11 60 61 5.) 13 26 29

Builder's Triangle- A common right triangle that measures 3, 4, and 5. 3 4 5 32 + 42 = 52 9 + 16 = 25 25 = 25 The builder's triangle is a Pythagorean Triple or a set of 3 whole numbers that can form the sides of a right triangle Other Pythagorean Triples: 5, 12, 13 7, 24, 25 8, 15, 17

Demonstrate Understanding: Pythagorean Theorem 1.) Find the missing length of the right triangle. Show steps. 24 m 32 m c m 2.) Determine if the triangle is a right triangle. Show steps. 15 24 28

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