Question

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c
7.2 mm
1.7 mm
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = millimeters
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Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( a^2 + b^2 = c^2 \), where \( a = 1.7 \), \( b = 7.2 \), \( c \) is hypotenuse.

Step2: Substitute values

\( a^2 = 1.7^2 = 2.89 \), \( b^2 = 7.2^2 = 51.84 \)

Step3: Sum the squares

\( 2.89 + 51.84 = 54.73 \)

Step4: Take square root

\( c = \sqrt{54.73} \approx 7.4 \)

Answer:

7.4