Question

30 points!The Triangle Inequality Theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2. List them in ascending order.(FILL IN THE BLANK)

The measure of the third side could be__, __, or __.
THANK YOU

Answer 1

Answer:7,6,5

Explanation:

So this is how I did it

So the theorem is

a+b>c

a+c>b

b+c>a

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Let's now substitute A= 6 and B =2 so It'll look something like

6+2> C

6+C> 2

2+C>6

From there I added like terms

8>C

4<C

2<C

Then from there I noticed the numbers 5,6,7 are the the only whole numbers between 4 and 8. So that's what I'm put as my answer.