Question

what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = ​ feet
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Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$, where \(a = 4\), \(b = 7\)

Step2: Substitute values

$$4^{2}+7^{2}=c^{2}$$
$$16 + 49=c^{2}$$
$$65=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{65}\approx 8.1$$

Answer:

\(8.1\)