Answer:
GL = square root of 2 = √2
Step-by-step explanation:
Given: GHJK is a square and its diagonals intersect at L
GJ and HK are its two diagonals.
We know that in a square diagonals bisect each other and if length of side is a, then length of its diagonal = √2 a.
Therefore, GJ=HK = √2×2
Since, diagonal intersect at L , L is mid point of GJ and HK
Therefore, GL = √2×2/2 = √2
Hence, GL = square root of 2