Question

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.

Answer 1

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

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