SOLUTION: A student draws a triangle with a perimeter of 12 inches. The student says that the longest side measures 7 in. How do you know that the student is incorrect? Explain Thanks so

Algebra ->  Triangles -> SOLUTION: A student draws a triangle with a perimeter of 12 inches. The student says that the longest side measures 7 in. How do you know that the student is incorrect? Explain Thanks so       Log On


   



Question 689477: A student draws a triangle with a perimeter of 12 inches. The student says that the longest side measures 7 in. How do you know that the student is incorrect? Explain
Thanks so much, I am really confused.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


That would violate the triangle inequality. The sum of the measures of any two sides of a triangle must be strictly greater than the measure of the third side. If the perimeter is 12 and one side is 7, that only leaves 5 for the sum of the remaining sides and since 5 is not strictly greater than 7, 7 is not a possible measure of any side of a triangle with a perimeter of 12.

John

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