SAT Math Multiple Choice Practice Question 253: Answer and Explanation

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Question: 253

11. In ΔABC, and . Which of the following could not be the length of AC?

A. 5
B. 7
C. 9
D. 16
E. 22

Correct Answer: A


A In a triangle, any side must have a length that is less than the sum of the two other lengths but greater than the difference of the two other lengths. Therefore, the third side must have a length between 15 –9 = 6 and 15 + 9 = 24, so a length of 5 is impossible.

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