Question

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what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = \square millimeters

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( a = 0.6 \), \( b = 3 \).

Step2: Calculate \( a^2 + b^2 \)

\( a^2 = 0.6^2 = 0.36 \), \( b^2 = 3^2 = 9 \). So \( a^2 + b^2 = 0.36 + 9 = 9.36 \).

Step3: Find \( c \)

\( c = \sqrt{9.36} \approx 3.1 \) (rounded to nearest tenth).

Answer:

\( 3.1 \)