If CS = 4 and AD = 10, what is the measure of CD? Round to the nearest hundredth. Show all your work.

Answer:
CD = 12.81
Step-by-step explanation:
2 x CS = CA
2x4 = 8 = CA
10 = AD
[tex]CD = \sqrt{(CA^{2} +AD^{2}) }[/tex]
[tex]CD = \sqrt{(8^{2}+10^{2} ) }[/tex]
[tex]CD = \sqrt{(64+100) } \\CD= \sqrt{164} \\CD=12.81[/tex]