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Question
unit exam: geometric figures
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use the given conditions to determine the number of possible triangles.
first side length: 5 feet
second side length: 8 feet
third side length: 15 feet
do the given conditions create a unique triangle, more than one triangle, or no triangle?
unique triangle
no triangle
more than one triangle
Step1: Apply triangle inequality theorem
Check if \(a + b>c\), \(a + c>b\), and \(b + c>a\) where \(a = 5\), \(b = 8\), \(c=15\).
First, \(a + b=5 + 8=13\). Since \(13<15\) (i.e., \(a + b
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no triangle