PrinceHuncho
PrinceHuncho PrinceHuncho
  • 04-06-2021
  • Mathematics
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Find the length of the diagonal of a rectangle. Round your answer to nearest tenth.

Find the length of the diagonal of a rectangle Round your answer to nearest tenth class=

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carsyncbell12
carsyncbell12 carsyncbell12
  • 04-06-2021

Answer:

19.2m

Step-by-step explanation:

"Slice" the rectangle into two right triangles (slice along the diagonal). Now you can use the Pythagorean theorem to calculate the length of the diagonal:

[tex]a^{2} +b^{2} =c^{2} \\12^{2}+15^{2} =c^{2} \\144+225=c^{2} \\\sqrt{369} =\sqrt{c^{2} }\\19.2m =c[/tex]

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