Question

Building a Garden
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work.

Which sums prove that the boards will create a triangular outline for the garden? Select all that apply.
5 + 2.5 > 4
5 + 2.5 < 4
4 + 2.5 > 5
4 + 2.5 < 5
4 + 5 > 2.5

Answer 1

Triangle inequality requires each pair of sides to have a sum greater than the third. Check the sums:

- 5 + 2.5 = 7.5 > 4 — true
- 4 + 2.5 = 6.5 > 5 — true
- 4 + 5 = 9 > 2.5 — true

So the correct choices are:
5 + 2.5 > 4; 4 + 2.5 > 5; 4 + 5 > 2.5.