a2le5moncampinamsuda a2le5moncampinamsuda
  • 25-12-2016
  • Mathematics
contestada

The length of a rectangle is 7 units and its width is 5 units. What is the approximate length of the diagonal of the rectangle?
A. 4.9 units B. 6 units C. 8.6 units D. 9 units

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Аноним Аноним
  • 25-12-2016
I hope this helps you
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JackelineCasarez JackelineCasarez
  • 31-12-2018

Answer:

The length of the diagonal is 8.6 units .

Option (C) is correct.

Step-by-step explanation:

As given

The length of a rectangle is 7 units and its width is 5 units.

Now by using the pythagorean theorem

Hypotenuse² =  Perpedicular² + Base²

Now as shown in the figure given below.

AC² = AD² + DC²

As

AD = 5 units

DC = 7 units

Put in the above

AC² = 5² + 7²

AC² = 25 + 49

AC² = 74

[tex]AC = \sqrt{74}[/tex]

AC = 8.6 units

Therefore the length of the diagonal is 8.6 units .

Option (C) is correct.



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