Answer:
The correct option is 3. The length of the hypotenuse 3.61 units.
Step-by-step explanation:
It is given that the legs of a right triangle are 3 units and 2 units.
According to the Pythagoras theorem
\(hypotenuse^2=(leg_1)^2+(leg_2)^2\)
Substitute leg₁=3 and leg₂=2 in the above formula.
\(hypotenuse^2=(3)^2+(2)^2\)
\(hypotenuse^2=9+4\)
\(hypotenuse^2=13\)
Taking square root both the sides.
\(hypotenuse=\sqrt{13}\)
\(hypotenuse=3.60555\)
\(hypotenuse\approx 3.61\)
The length of the hypotenuse 3.61 units. Therefore the correct option is 3.
