Question

what is the length of the line?
choose 1 answer:
a 9
b 8
c \sqrt{45}
d \sqrt{27}

Explanation:

Step1: Count horizontal and vertical distances

Assume each grid is 1 unit. Count horizontal distance \(a = 6\), vertical distance \(b = 3\).

Step2: Apply Pythagorean theorem

Use formula \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 6\), \(b = 3\): \(c=\sqrt{6^{2}+3^{2}}=\sqrt{36 + 9}=\sqrt{45}\)

Answer:

C. \(\sqrt{45}\)