Can the sides of a triangle have lengths 2, 9, and 10? Choices: (A)yes (B)no

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 2 + 9: Check if 2 + 9 > 10. Calculation: 2 + 9 = 11, and 11 > 10, so this part is true. Check 2 + 10: Check if 2 + 10 > 9. Calculation: 2 + 10 = 12, and 12 > 9, so this part is true. Check 9 + 10: Check if 9 + 10 > 2. Calculation: 9 + 10 = 19, and 19 > 2, so this part is true.

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Can the sides of a triangle have lengths $2$ , $9$ , and $10$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Q. Can the sides of a triangle have lengths

2

9

, and

10

\newline

Choices:

\newline

(A) yes

\newline

(B) no

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 $2 + 9$ : Check if 2 + 9 > 10. Calculation: $2 + 9 = 11$ , and 11 > 10, so this part is true.
Check $2 + 10$ : Check if 2 + 10 > 9. Calculation: $2 + 10 = 12$ , and 12 > 9, so this part is true.
Check $9 + 10$ : Check if 9 + 10 > 2. Calculation: $9 + 10 = 19$ , and 19 > 2, so this part is true.