Question

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

Explanation:

Step1: Apply the Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here, \(a = 9.2\) and \(b=2.2\). So, \(c^{2}=9.2^{2}+2.2^{2}\).

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

\(9.2^{2}=9.2\times9.2 = 84.64\)
\(2.2^{2}=2.2\times2.2=4.84\)
Then \(c^{2}=84.64 + 4.84\).

Step3: Sum the values

\(c^{2}=84.64+4.84=89.48\)

Step4: Find \(c\)

\(c=\sqrt{89.48}\approx9.5\)

Answer:

\(9.5\) meters