Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 5\) mm and \(b = 2\) mm, the Pythagorean theorem is \(c^{2}=a^{2}+b^{2}\), where \(c\) is the hypotenuse. So \(c^{2}=5^{2}+2^{2}\).

Step2: Calculate \(a^{2}+b^{2}\)

\(5^{2}=25\) and \(2^{2}=4\), then \(a^{2}+b^{2}=25 + 4=29\). So \(c^{2}=29\).

Step3: Solve for \(c\)

\(c=\sqrt{29}\approx5.4\) mm.

Answer:

5.4