Question

what is the length of the line?
choose 1 answer:
a 4
b 5
c \sqrt{5}

Explanation:

Step1: Determine horizontal and vertical distances

Assume the horizontal distance \(a = 3\) and vertical distance \(b = 4\) (by counting grid - squares).

Step2: Apply Pythagorean theorem

The length \(L\) of the line (hypotenuse) is given by \(L=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 3\) and \(b = 4\): \(L=\sqrt{3^{2}+4^{2}}=\sqrt{9 + 16}=\sqrt{25}\).

Step3: Simplify

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

Answer:

B. 5