Question

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

Explanation:

Step1: Recall triangle inequality rule

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

Step2: Test option 1 (5,6,12)

$5+6=11$, $11<12$ → Violates the rule.

Step3: Test option 2 (4,5,9.5)

$4+5=9$, $9<9.5$ → Violates the rule.

Step4: Test option 3 (3,7,9)

$3+7=10>9$, $3+9=12>7$, $7+9=16>3$ → Satisfies the rule.

Step5: Test option 4 (2,3,5)

$2+3=5$, $5$ is not greater than $5$ → Violates the rule.

Answer:

3 by 7 by 9