Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 4\), \(b = 2\). So \(c^{2}=4^{2}+2^{2}\)

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

\(4^{2}+2^{2}=16 + 4=20\)
So \(c^{2}=20\)

Step3: Solve for \(c\)

\(c=\sqrt{20}\approx4.5\) (rounded to the nearest tenth)

Answer:

\(4.5\)