question 3: 20 pts
robyn wants to place a television set 8ft from her lounge chair. can the other two distances shown be 5ft and 9ft? identify the answer with the correct explanation.

Yes, the sum of any two lengths is greater than the third length

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

In this problem

Applying the Triangle Inequality Theorem

1) 9+5 > 8 > is ok

2) 8+5 > 9 ---> is ok

3) 8+9 > 5 ---> is ok

therefore

Yes, the sum of any two lengths is greater than the third length

4.0 ft

step-by-step explanation:

4.0 ft

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