Does the 3 lengths make a triangle, Yes or No?
3m, 11m, 7m.
I think No.
You are correct,
but do you understand why not ?
Yes, its because the sum of the lengths of the two shorter sides is less than the length of the third side; 7+3<11
good! You got it
To determine if the given lengths can form a triangle, you can use the Triangle Inequality Theorem. According to this theorem, for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side.
Let's check:
- For the given lengths of 3m, 11m, and 7m:
- The sum of the lengths of 3m and 7m is 3m + 7m = 10m.
- Since 10m is less than 11m, the sum of the two shorter sides is not greater than the longest side.
Therefore, based on the Triangle Inequality Theorem, the given lengths of 3m, 11m, and 7m cannot form a triangle. So your intuition was correct, the answer is No.