Can the sides of a triangle have lengths 3, 6, and 8? Choices: (A)yes (B)no

Check Triangle Inequality Theorem: To determine if these can be the sides of a triangle, we need to check the triangle inequality theorem. The sum of the lengths of any two sides must be greater than the length of the third side. Check 3 + 6 > 8: Check if 3 + 6 > 8. Calculation: 3 + 6 = 9, and 9 > 8, so this part is true. Check 3 + 8 > 6: Check if 3 + 8 > 6. Calculation: 3 + 8 = 11, and 11 > 6, so this part is true too. Check 6 + 8 > 3: Check if 6 + 8 > 3. Calculation: 6 + 8 = 14, and 14 > 3, so this part is also true.

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Can the sides of a triangle have lengths $3$ , $6$ , and $8$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Q. Can the sides of a triangle have lengths

3

6

, and

8

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Check Triangle Inequality Theorem: To determine if these can be the sides of a triangle, we need to check the triangle inequality theorem. The sum of the lengths of any two sides must be greater than the length of the third side.
Check 3 + 6 > 8: Check if 3 + 6 > 8. Calculation: $3 + 6 = 9$ , and 9 > 8, so this part is true.
Check 3 + 8 > 6: Check if 3 + 8 > 6. Calculation: $3 + 8 = 11$ , and 11 > 6, so this part is true too.
Check 6 + 8 > 3: Check if 6 + 8 > 3. Calculation: $6 + 8 = 14$ , and 14 > 3, so this part is also true.