Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(c^{2}=a^{2}+b^{2}\), where \(a = 5\) mm and \(b = 2\) mm. So \(c^{2}=5^{2}+2^{2}\).

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

\(5^{2}+2^{2}=25 + 4=29\). So \(c^{2}=29\).

Step3: Find \(c\)

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

Answer:

5.4