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Paha777 [63]
3 years ago
10

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 18

inches and a second side that is 3 inches less than twice the third side, what are the possible lengths for the second and third sides?
Mathematics
1 answer:
kogti [31]3 years ago
3 0

Answer: One side could be 18 and the other side will be 33.

Step-by-step explanation:

  • Side #1 = 18
  • Side #2 = 2x - 3
  • Side #3 = x

<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>

<u />2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7

<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>

<u />18+x>2x-3\\18+3>2x-x\\x<u />

<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>

<u />18+2x-3>x\\15>x-2x\\15>-x\\x>-15<em />

<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>

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