Answer:
hypotenuse is not a rational number
Step-by-step explanation:
In a Right angled triangle , if a, b are the sides and h be the hypotenuse then relationship between them is given by
[tex]h^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]
Here,
a= 4 in. [Given]
b = 6 in. [Given]
Thus ,
[tex]h^{2}[/tex] = [tex]4^{2}[/tex] + [tex]6^{2}[/tex]
[tex]h^{2}[/tex] = 16 + 36
[tex]h^{2}[/tex] = 52.
h = [tex]\sqrt{52}[/tex] = 7.21110255......
Clearly, h is not a rational number
