Question

point s lies between points r and t on \\(\overline{rt}\\).
if rt is 10 centimeters long, what is st?

2 centimeters
4 centimeters
6 centimeters
8 centimeters

Explanation:

Set up the segment addition equation

$$ RS + ST = RT $$

$$ 2x + 3x = 10 $$

Solve for x

$$ 5x = 10 \implies x = 2 $$

Calculate the length of ST

$$ ST = 3x = 3(2) = 6 $$

Answer:

• 2 centimeters
• 4 centimeters
• 6 centimeters (Correct answer)
• 8 centimeters