Determine if each statement is always, sometimes or never true. Explain your reasoning The sum of the two shortest sides of a triangle must be less than the longest side.

Identify Statement: Identify the statement to analyze: The statement given is ＂The sum of the two shortest sides of a triangle must be less than the longest side.＂ Recall Theorem: Recall the Triangle Inequality Theorem: The Triangle Inequality 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. Compare to Theorem: Compare the statement to the theorem: The given statement contradicts the Triangle Inequality Theorem. According to the theorem, the sum of the two shortest sides must be greater than the longest side, not less. Determine Truth Value: Determine the truth value of the statement: Since the statement contradicts a fundamental theorem of geometry, it is never true.

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Determine if each statement is always, sometimes or never true. Explain your reasoning
The sum of the two shortest sides of a triangle must be less than the longest side.

Determine if each statement is always, sometimes or never true. Explain your reasoning $\newline$ The sum of the two shortest sides of a triangle must be less than the longest side.

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Q. Determine if each statement is always, sometimes or never true. Explain your reasoning

\newline

The sum of the two shortest sides of a triangle must be less than the longest side.

Identify Statement: Identify the statement to analyze: The statement given is ＂The sum of the two shortest sides of a triangle must be less than the longest side.＂
Recall Theorem: Recall the Triangle Inequality Theorem: The Triangle Inequality 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.
Compare to Theorem: Compare the statement to the theorem: The given statement contradicts the Triangle Inequality Theorem. According to the theorem, the sum of the two shortest sides must be greater than the longest side, not less.
Determine Truth Value: Determine the truth value of the statement: $\newline$ Since the statement contradicts a fundamental theorem of geometry, it is never true.