Question

jared is creating a flower garden in the shape of a triangle. which could be the dimensions of the garden in feet?
2 by 3 by 5
3 by 7 by 9
4 by 5 by 9.5
5 by 6 by 12

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step2: Check option 1 (2, 3, 5)

$2 + 3=5$, which does not satisfy the triangle - inequality theorem since $2 + 3$ is not greater than $5$.

Step3: Check option 2 (3, 7, 9)

$3+7 = 10>9$, $3 + 9=12>7$, and $7 + 9 = 16>3$. This set of side - lengths satisfies the triangle - inequality theorem.

Step4: Check option 3 (4, 5, 9.5)

$4+5 = 9<9.5$, which does not satisfy the triangle - inequality theorem.

Step5: Check option 4 (5, 5, 12)

$5+5 = 10<12$, which does not satisfy the triangle - inequality theorem.

Answer:

3 by 7 by 9