Question

What is the length of the diagonal of a square with side length 50\sqrt{2} cm? Express your answer in simplest form.

Answer 1

Answer:

Length of diagonal = 100 cm

Step-by-step explanation:

Given:

Side length of square = $50\sqrt{2} cm$

Using pythagorean theorem:

Sum of squares of sides = Square of Diagonal

$( 50\sqrt{2} )^2 + ( 50\sqrt{2} )^2 = x^2$

Solving for x:

$x^2 = 10000\\x = 100$

Therefore,

Length of diagonal = 100 cm