Question

A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side. Show and explain your reasoning.

Answer 1

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$<b><marquee>Your QUESTION is ~~~> ⤵⤵⤵⤵</marquee></b>$

A triangle has one side length of 12 inches and another of 8 inches. Describe all possible lengths of the third side. Show and explain your reasoning.

$<b><marquee>The ANSWER is ~~~> ⤵⤵⤵⤵</marquee></b>$

We know,

= Sum of 2 sides of triangle > Third side

= 12 + 8 inches > Third side

= 20 inches > Third side

Also,

= Difference of 2 sides of triangle < Third Side

= 12 - 8 inches < Third Side

= 4 inches < Third side

Thus

4 inches < Thide side < 20inches

So Third side can be 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 inches.

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