A triangle has two sides of lengths 4 and 7. What value could the length of the third side be? Check all that apply. A. 5 B. 3 c. 7 D. 9 E. 17 F. 11

C. 7 D. 9

Step-by-step explanation:

Given

Required

Determine possible length for the third side

Represent the third side with x

The relationship between all sides of the triangle is:

Next, we solve for x in the above inequalities

Discard results with negative.

So, we have:

and

Rewrite as:

and

Combine inequalities

From the above, the possible values of x are: 4 to 10.

Hence: C. 7 D. 9 are true

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