SHOW HOW YOU KNOW if the three lengths can form a triangle. \[ 25,17,29 \] True False
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To determine if the lengths 25, 17, and 29 can form a triangle, you can use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides must be greater than the length of the third side. For these lengths, we check the conditions: 1. \(25 + 17 > 29\) (True: 42 > 29) 2. \(25 + 29 > 17\) (True: 54 > 17) 3. \(17 + 29 > 25\) (True: 46 > 25) Since all three conditions are satisfied, the lengths can indeed form a triangle! So the answer is **True**! 🎉
