Question

what is the length of the hypotenuse? if necessary, round to the ne
c = □ meters
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work it out
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Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 3\), \(b = 3\). So \(c^{2}=3^{2}+3^{2}\).

Step2: Calculate \(c^{2}\)

\(3^{2}+3^{2}=9 + 9=18\).

Step3: Find \(c\)

\(c=\sqrt{18}\). Simplify \(\sqrt{18}=\sqrt{9\times2}=3\sqrt{2}\approx3\times1.414 = 4.242\approx4.2\) (rounded to the nearest tenth).

Answer:

\(4.2\)