Question

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what is the length of the hypotenuse? if necessary, round to the nearest tenth. c = \boxed{} centimeters

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( a = 4.9 \) cm, \( b = 2.4 \) cm. So \( c^2 = 4.9^2 + 2.4^2 \).
Calculate \( 4.9^2 = 24.01 \), \( 2.4^2 = 5.76 \). Then \( c^2 = 24.01 + 5.76 = 29.77 \).

Step2: Find the square root

Take the square root of \( 29.77 \): \( c = \sqrt{29.77} \approx 5.5 \) (rounded to nearest tenth).

Answer:

5.5