emily is constructing a triangle. one side is 3 inches long and another is5 inches long. Which of the following is the smallest measure emily could use for the third side of the triangle
Well, if the third side is not the biggest, then \[ 5<3+b \]
That is the longest side is less than the sum of the other two sides.
my choices are: 2 inches, 3 inches, 4 inches, or 5 inches
Okay, in the inequality \[ 5<3+b \]Solve for \(b\).
The Triangle Inequality Theorem states that: Any side of a triangle must be: less than the sum of the other 2 sides and greater than the difference of the other 2 sides. sum = 3 + 5 = 8 difference = 5 - 3 = 2 So > 2 third side < 8
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