Question

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

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 4\)m and \(b = 4\)m.
So \(c^{2}=4^{2}+4^{2}\).

Step2: Calculate \(4^{2}+4^{2}\)

\(4^{2}=16\), then \(4^{2}+4^{2}=16 + 16=32\). So \(c^{2}=32\).

Step3: Find \(c\)

\(c=\sqrt{32}\). Simplify \(\sqrt{32}=\sqrt{16\times2}=4\sqrt{2}\approx4\times1.414 = 5.7\) (rounded to the nearest tenth).

Answer:

\(5.7\)