KaylisaF413275 KaylisaF413275
  • 25-10-2022
  • Mathematics
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Rectangle ABCD is shown. What is the length of diagonal BD? Round to the nearest tenth if needed

Rectangle ABCD is shown What is the length of diagonal BD Round to the nearest tenth if needed class=

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JourdinL380053 JourdinL380053
  • 25-10-2022

THe diagonal, BD divides the rectangle into two right angle triangles.

BD represents the hypotenuse

BC represents the opposite side

DC represents the adjacent side

We would determine BD by applying the pythagorean theorem which is expressed as

[tex]\begin{gathered} \text{hypotenuse}^2=oppositeside^2+adjacentside^2 \\ BD^2=7^2+12^2=49\text{ + 144 = 193} \\ BD\text{ = }\sqrt[]{193} \\ BD\text{ = 13.9 } \end{gathered}[/tex]

The length of the diagonal, BD is 13.9m to the nearest tenth

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