Can the sides of a triangle have lengths 2, 8, and 8? Choices: (A)yes (B)no

Check Triangle Inequality Theorem: Check if the given side lengths satisfy 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. Calculation: 2 + 8 = 10, which is greater than 8.Check Side Length Combinations: Check the other two combinations of side lengths. Calculation: 8 + 8 = 16, which is greater than 2.Final Side Length Comparison: Check the last combination of side lengths. Calculation: 2 + 8 = 10, which is not greater than the third side, 8.

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Can the sides of a triangle have lengths $2$ , $8$ , and $8$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Q. Can the sides of a triangle have lengths

2

8

, and

8

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Check Triangle Inequality Theorem: Check if the given side lengths satisfy 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. $\newline$ Calculation: $2 + 8 = 10$ , which is greater than $8$ .
Check Side Length Combinations: Check the other two combinations of side lengths. $\newline$ Calculation: $8 + 8 = 16$ , which is greater than $2$ .
Final Side Length Comparison: Check the last combination of side lengths. $\newline$ Calculation: $2 + 8 = 10$ , which is not greater than the third side, $8$ .