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
Explanation:
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.