Question

what is the length of the hypotenuse? if necessary, round to the nearest ten
c = □ centimeters

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here \(a = 3\) and \(b = 4\), so \(c^{2}=3^{2}+4^{2}\)

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

\(3^{2}=9\), \(4^{2}=16\)
Then \(c^{2}=9 + 16=25\)

Step3: Solve for \(c\)

\(c=\sqrt{25}\)
\(c = 5\)

Answer:

\(5\)