Question

What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units? Square root of 8 units 4 units Square root of 32 units 8 units

Answer 1

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 2

The correct answer is √32

Explanation:

Consider the provided information.

According to the Pythagoras theorem.

`a^2+b^2=c^2`

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.

`4^2+4^2=c^2`

`16+16=c^2`

`32=c^2`

`\pm √(32)=c`

Ignore the negative value as length can not be a negative number.

`√(32)=c`

Hence, the correct answer is √32.