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Suppose that you have measured a length of 6 cm on one board and 8 cm on the other. You would adjust the two boards until the length of the string had value c to ensure that the boards made a right angle. What is c? Express your answer in centimeters to three significant figures.

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MechEngineer

Answer:

c = 10.000cm

Step-by-step explanation:

If the 2 boards made the right angle, c would be the hypotenuse with 2 sides of 6 cm and 8 cm. We can then use Pythagorean formula to solve for c

[tex]c^2 = 6^2 + 8^2 = 36 + 64 = 100[/tex]

[tex]c = \sqrt{100} = 10.000 cm[/tex]

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