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BarlowGirl

  • 2 years ago

PLEASE HELP!!!!!! "If 'x' is an integer and 2<x<7, how many different triangles are there whith sides of lengths 2, 7, and x?" Please explain why the answer is ONE. Thanks! =)

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  1. ash2326
    • 2 years ago
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    Given x is an integer and \[2<x<7\] We know that for a triangle, sum of two sides is always greater than the third side so, \[x+2>7\] or \[x>5\] We know that x lies between 2 and 7 and just now we found that x>5, so there is only one value for x \[5<x<7=> x=6\] therefore we have only one triangle 2, x=6 and 7

  2. ash2326
    • 2 years ago
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  3. BarlowGirl
    • 2 years ago
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    Aha! Yes - thank you so much! I do understand. You've been most helpful! Keep up the great work! =)

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