Question

jonah is creating a triangular garden. he has 3 pieces of fencing that measure 5 feet (ft.), 5 ft., and 11 ft. does jonah have enough fencing to make a triangular garden? justify your answer using mathematics.

Explanation:

Step1: Apply triangle inequality theorem

The triangle inequality theorem states that for any triangle with side lengths \(a\), \(b\), and \(c\), the following must hold: \(a + b>c\), \(a + c>b\), and \(b + c>a\). Let \(a = 5\), \(b = 5\), and \(c = 11\).
First, check \(a + b>c\):
\(5+5 = 10\)
Since \(10<11\) (i.e., \(5 + 5
ot>11\)), the triangle inequality theorem is violated.

Answer:

No, Jonah does not have enough fencing to make a triangular garden.