Question

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1.4 km
1.7 km
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = kilometers
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Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( a = 1.7 \), \( b = 1.4 \), and \( c \) is the hypotenuse.

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

\( a^2 = 1.7^2 = 2.89 \), \( b^2 = 1.4^2 = 1.96 \)

Step3: Sum \( a^2 \) and \( b^2 \)

\( a^2 + b^2 = 2.89 + 1.96 = 4.85 \)

Step4: Find \( c \)

\( c = \sqrt{4.85} \approx 2.2 \) (rounded to nearest tenth)

Answer:

2.2