Respuesta :
The answer would be √32 or 4√2 (which is simplified) because of pythagoras' theorem. If we substitute a = b = 4 into it, then c must equal the root of 16 + 16, or 32.
Answer:
The correct answer is √32
Step-by-step explanation:
Consider the provided information.
According to the Pythagoras theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs of the right angle triangle and c is the hypotenuse.
Now it is given that the two legs are 4 unit. Substitute the value of legs in the above formula.
[tex]4^2+4^2=c^2[/tex]
[tex]16+16=c^2[/tex]
[tex]32=c^2[/tex]
[tex]\pm \sqrt{32}=c[/tex]
Ignore the negative value as length can not be a negative number.
[tex]\sqrt{32}=c[/tex]
Hence, the correct answer is √32.