Question

what is the length of the line?
choose 1 answer:
a $sqrt{11}$
b $sqrt{61}$
c 8
d 11

Explanation:

Step1: Determine the horizontal and vertical distances

Count the horizontal units (\(a\)) and vertical units (\(b\)) between the two endpoints of the line. Here, \(a = 5\) and \(b = 6\).

Step2: Apply the Pythagorean theorem

The length \(L\) of the line (hypotenuse of the right - triangle formed) is given by \(L=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 5\) and \(b = 6\) into the formula: \(L=\sqrt{5^{2}+6^{2}}=\sqrt{25 + 36}\).

Step3: Calculate the result

\(\sqrt{25+36}=\sqrt{61}\).

Answer:

B. \(\sqrt{61}\)