What is the length of CD to the nearest 10th?
![What is the length of CD to the nearest 10th class=](https://us-static.z-dn.net/files/d1f/65110bceda412f02eebde9ad4eb33ae1.jpg)
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]