Question

what is the length of the line?
choose 1 answer:
a 8
b 12
c \sqrt{60}
d \sqrt{136}

Explanation:

Step1: Determine horizontal and vertical distances

Count the horizontal units (\(a\)) and vertical units (\(b\)) between the two endpoints of the line. Assume horizontal distance \(a = 10\) and vertical distance \(b = 6\) (by counting grid - squares).

Step2: Apply the distance formula (Pythagorean theorem)

The length \(L\) of the line (using the Pythagorean theorem \(L=\sqrt{a^{2}+b^{2}}\)) is \(L=\sqrt{10^{2}+6^{2}}=\sqrt{100 + 36}=\sqrt{136}\)

Answer:

D. \(\sqrt{136}\)