what is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 3 units? square root of 18 units square root of 27 units 3 units 6 units
a^2 + b^2 = c^2
3^2 + 3^2 = c^2
9 + 9 = c^2
18 = c^2...by taking the sqrt of both sides, this eliminates the ^2
sqrt 18 = c
Answer:
Option 1 is correct that is square root of 18.
Step-by-step explanation:
We will use pythagoras theroem to find the length of hypotenuse
\(c^2=a^2+b^2\)
Here, c is hypotenuse,a is one leg and b is the other leg.
Here, a=b=3
On substituting the values in the formula we get:
\(c^2=3^2+3^2=18\)
\(c=\sqrt{18}\)
Hence, Option 1 is correct that is square root of 18.