Answer:
10.30
Step-by-step explanation:
Pythagorean Theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]. The short leg(a) is 5 units long and the long leg(b) is 9 units long. CD is the hypotenuse, the longest side (c).
[tex]5^{2}[/tex] +[tex]9^{2}[/tex] =[tex]c^{2}[/tex]
25+81=[tex]c^{2}[/tex]
106=[tex]c^{2}[/tex]
[tex]\sqrt{106}[/tex] = [tex]\sqrt{c^{2} }[/tex]
10.29563014 = c
Rounded to the nearest hundredth, 10.30
To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.
