Question

what is the length of the line?
choose 1 answer:
a 8
b 12
c √60
d √136

Explanation:

Step1: Determine horizontal and vertical distances

Count the horizontal distance \( a = 10 \) units and vertical distance \( b = 6 \) units between the two endpoints of the line.

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 \( a = 10 \) and \( b = 6 \):

$$
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Answer:

D. \( \sqrt{136} \)