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How do you determine the range of a side of a triangle?

How do you determine the range of a side of a triangle?-example-1
User Sagi Rika
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Step 1

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

Step 2

For sides 29 , 40 and x

x must be less than 29 + 40 = 69. x must be less than 69.

x must also be greater than 11

Final answer

11 < x < 69

Option C

User ShawnD
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