Question

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

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 5.3\), \(b=5.3\). So \(c^{2}=5.3^{2}+5.3^{2}\)

Step2: Calculate \(5.3^{2}+5.3^{2}\)

\(5.3^{2}=28.09\), then \(5.3^{2}+5.3^{2}=28.09 + 28.09=56.18\)

Step3: Find \(c\)

\(c=\sqrt{56.18}\approx7.5\)

Answer:

\(7.5\)