Can the sides of a triangle have lengths 4, 8, 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 4 + 8 > 10: Check if 4 + 8 > 10. Calculation: 4 + 8 = 12, and 12 > 10, so this part is true. Check 4 + 10 > 8: Check if 4 + 10 > 8. Calculation: 4 + 10 = 14, and 14 > 8, so this part is true too. Check 8 + 10 > 4: Check if 8 + 10 > 4. Calculation: 8 + 10 = 18, and 18 > 4, so this part is also true.

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Can the sides of a triangle have lengths $4$ , $8$ , and $10$ ? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Q. Can the sides of a triangle have lengths

4

8

, 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 4 + 8 > 10: Check if 4 + 8 > 10. Calculation: $4 + 8 = 12$ , and 12 > 10, so this part is true.
Check 4 + 10 > 8: Check if 4 + 10 > 8. Calculation: $4 + 10 = 14$ , and 14 > 8, so this part is true too.
Check 8 + 10 > 4: Check if 8 + 10 > 4. Calculation: $8 + 10 = 18$ , and 18 > 4, so this part is also true.