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sophiarichins sophiarichins
  • 19-08-2020
  • Mathematics
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What is the length of CD to the nearest 10th?

What is the length of CD to the nearest 10th class=

Respuesta :

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09pqr4sT 09pqr4sT
  • 19-08-2020

Answer:

[tex]\huge \boxed{\mathrm{10.3 \ units}}[/tex]

Step-by-step explanation:

To solve for CD, we can create a right triangle.

Where CD becomes the hypotenuse.

The length of the base of the triangle is 9 units.

The length of the height of the triangle is 5 units.

Apply Pythagorean theorem to solve for the hypotenuse.

[tex]\sf hypotenuse = \sqrt{(base )^2 +(height )^2 }[/tex]

[tex]c=\sqrt{9^2 +5^2 }[/tex]

[tex]c=\sqrt{106}[/tex]

[tex]c \approx 10.29[/tex]

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