Answer:
4.47
Step-by-step explanation:
Using Pythagorean's theorem, we know that [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].
[tex]c^{2}[/tex] is the hypotenuse which is what we are trying to figure out.
[tex]a^{2}[/tex] and [tex]b^{2}[/tex] are the measurements of the legs.
[tex]4^{2}[/tex]+ [tex]2^{2}[/tex] = [tex]c^{2}[/tex]
[tex]4^{2}[/tex]= 16
[tex]2^{2}[/tex]=4
16 + 4 = 20
20 = [tex]c^{2}[/tex]
[tex]\sqrt{20}[/tex] = [tex]\sqrt{c^{2} }[/tex]
2[tex]\sqrt{5}[/tex] = 4.47
Answer: 4.47
