Answer:
Length of diagonal = 100 cm
Step-by-step explanation:
Given:
Side length of square = [tex]50\sqrt{2} cm[/tex]
Using pythagorean theorem:
Sum of squares of sides = Square of Diagonal
[tex]( 50\sqrt{2} )^2 + ( 50\sqrt{2} )^2 = x^2[/tex]
Solving for x:
[tex]x^2 = 10000\\x = 100[/tex]
Therefore,
Length of diagonal = 100 cm
