Can the sides of a triangle have lengths 1, 3, and 3? Choices: (A)yes (B)no

Triangle Inequality Theorem: To determine if these side lengths can form a triangle, we need to check the triangle inequality theorem. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Check 1 + 3 > 3: Check if 1 + 3 > 3. Calculation: 1 + 3 = 4, and 4 > 3, so this condition is satisfied. Check 3 + 3 > 1: Check if 3 + 3 > 1. Calculation: 3 + 3 = 6, and 6 > 1, so this condition is also satisfied. Check 1 + 3 > 3: Check if 1 + 3 > 3. Calculation: 1 + 3 = 4, and 4 > 3, so this condition is satisfied.

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Can the sides of a triangle have lengths $1$ , $3$ , and $3$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Q. Can the sides of a triangle have lengths

1

3

, and

3

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Triangle Inequality Theorem: To determine if these side lengths can form a triangle, we need to check the triangle inequality theorem. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Check 1 + 3 > 3: Check if 1 + 3 > 3. Calculation: $1 + 3 = 4$ , and 4 > 3, so this condition is satisfied.
Check 3 + 3 > 1: Check if 3 + 3 > 1. Calculation: $3 + 3 = 6$ , and 6 > 1, so this condition is also satisfied.
Check 1 + 3 > 3: Check if 1 + 3 > 3. Calculation: $1 + 3 = 4$ , and 4 > 3, so this condition is satisfied.