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Geometry Worksheet 7 2 Worksheet Pythagorean Theorem Answer Key  Form

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in this lesson we'll also be solving word problems that involve Pythagorean triples for example a 17m piece of string is stretched from the top of a 15 m flag pole to the ground how far is the base of the flag pole from the end of the piece of string to find out how far the base of the flag pole is from the end of the piece of string we need to find the length of the missing leg of the triangle which we'll call X now to find the value of x let's see if we can use a Pythagorean triple remember that the most common Pythagorean triples are 3 4 5 5 12 13 8 15 17 and 7 24 25 next notice that a leg and the hypotenuse of the given right triangle have lengths of 15 M and 17 m and since 15 and 17 are part of the Pythagorean triple 8 151 17 we can use the Pythagorean triple 8 15 17 to find that the value of x must be 8 m therefore the base of the flag pole is 8 m from the end of the piece of string

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