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A triangle has side lengths of 12 and 12. What is the range of the possible side lengths for the third side?

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User DamithH
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8.9k points

2 Answers

3 votes

Answer: ???????////

Explanation:

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answered
User Kalpesh Lakhani
by
8.0k points
5 votes

Answer: 0<c<24

Explanation:

In order to form a triangle the length of two sides must be greater than the third side, or in mathematical terms:

a + b > c (a, b, c can be any side and interchangeable with no problems)

You can plug in the values anywhere, but lets let a and b be 12 to get:

12 + 12 > c

c<24 (let c be the third side)

Then, to find the lower limit, we can let b and c be 12 to get:

a + 12 > 12

a > 0 (let a be the third side)

Merging the two inequalities, we get 0 < c < 24, as the two variables are interchangeable and don't matter.

answered
User AndrasCsanyi
by
8.4k points

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