Answered

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A parallelogram has two 19-inch sides and two 23-inch sides. What is the range of possible lengths for the diagonals of this parallelogram?

Sagot :

Mhanifaidn

Answer:

  • Between 4 and 42 inches

Step-by-step explanation:

The two sides and diagonal make a triangle.

Let the diagonal is d, use triangle inequality:

  • 19 + 23 > d ⇒ 42 > d ⇒ d < 42
  • 19 + d > 23 ⇒ d > 23 - 19 ⇒ d > 4
  • 23 + d > 19 ⇒ d > 0

Solution is:

  • 4 < d < 42
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