Question

pam was told to draw a triangle with side lengths 3 centimeters, 5 centimeters, and 9 centimeters. complete the paragraph. since 3 < 5 < 9 and, pam draw a triangle with side lengths 3 centimeters, 5 centimeters, and 9 centimeters.

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 side - length sums

For side lengths 3 cm, 5 cm, and 9 cm, we check \(3 + 5=8\) and \(8<9\).

Answer:

Since \(3 < 5 < 9\) and \(3 + 5<9\), Pam cannot draw a triangle with side lengths 3 centimeters, 5 centimeters, and 9 centimeters.