Question

can the sides of a triangle have lengths 1, 3, and 3? yes no save answer

Explanation:

Step1: Check triangle inequality for 1 + 3 > 3

$$1+3>3\Rightarrow4 > 3$$

Step2: Check triangle inequality for 3 + 3 > 1

$$3 + 3>1\Rightarrow6>1$$

Step3: Check triangle inequality for 1+3 > 3 (same as step1)

All three triangle - inequality conditions (for a triangle with side lengths \(a\), \(b\), \(c\): \(a + b>c\), \(a + c>b\), \(b + c>a\)) are satisfied.

Answer:

yes