The length of the shorter leg is √2
Pythagoras theroem
To get the length of the shorter leg, we will use the Pythagoras theorem. According to the theorem:
hyp^2 = opp^2 + adj^2
Given the following
Hyp = √4
Opposite = √2
Required
Adjacent side
Substitute into the formula
(√4 )^2 = 2 + adj^2
4 - 2 = adj^2
adj^2 = 2
adj = √2
Hence the length of the shorter leg is √2
Learn more on Pythagoras theorem here: https://brainly.com/question/343682
