Answer: (#5) x = 13
#6) N = 55
Step-by-step explanation:
(5). Hypotenuse = x
Using Pythagoras theorem , we have :
[tex]x^{2} = 12^{2}+5^{2}[/tex]
[tex]x^{2} = 144 + 25[/tex]
[tex]x^{2} = 169[/tex]
[tex]x = 13[/tex]
(6) hypotenuse = 73 , therefore :
[tex]73^{2}=48^{2}+N^{2}[/tex]
[tex]5329= 2304 + N^{2}[/tex]
Therefore :
[tex]N^{2}= 5329 - 2304[/tex]
[tex]N^{2}=3025[/tex]
[tex]N = 55[/tex]
