Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 5\) and \(b=2\), so \(c^{2}=5^{2}+2^{2}\)

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

\(5^{2}=25\), \(2^{2} = 4\)
Then \(c^{2}=25 + 4=29\)

Step3: Solve for \(c\)

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

Answer:

\(5.4\)