# Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 241: 17

Rope length=$6\sqrt 5$ m

#### Work Step by Step

From figure hypotenuse = rope Using Pythagoras theorem $hypotenuse^{2}=12^{2}+6^{2}$ $hypotenuse^{2}=144+36$ $hypotenuse^{2}=180$ =$6\sqrt 5$ Rope length=$6\sqrt 5$ m

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