Two sides of a triangle have the following measures, Vind the range of possible measures for the third side,
13) 8,7
14) 12,6
A) 1 B) 2 < x < 14
C) 1 D) 1
A) 8 B) 9 C) 8 < X < 18
D) 6 < X < 18

Step-by-step explanation:

Question 13:

-- the two sides

Using triangle inequality theorem, we have:

So, we have:

This gives:

Collect and evaluate like terms

Collect and evaluate like terms

Ignore the inequality with a negative value.

So, we have:

and

Rewrite as:

and

Merge

Question 14:

-- the two sides

Using triangle inequality theorem, we have:

So, we have:

This gives:

Collect and evaluate like terms

Collect and evaluate like terms

Ignore the inequality with a negative value.

So, we have:

and

Rewrite as:

and

Merge

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step-by-step explanation:

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step-by-step explanation: