Question

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Which of the following side lengths can form a triangle?

23, 28, and 55

24, 24, and 47

15, 30, and 45

8, 17, and 25

Answer 1

Answer:  24, 24, 47

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c       &       a + c > b        &        b + c > a

23 + 28 = 51 which is NOT greater than 55

15 + 30 = 45 which is NOT greater than  45

8 + 17 = 25 which is NOT greater than 25

24 + 24 > 47      &        24 + 47 > 24       &       24 + 24 > 27

all combinations are true so these side lengths can form a triangle