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

Length of diagonal = 100 cm

Explanation:

Given:

Side length of square =
`50√(2)   cm`

Using pythagorean theorem:

Sum of squares of sides = Square of Diagonal

`( 50√(2) )^2 + ( 50√(2) )^2 = x^2`

Solving for x:

`x^2 = 10000\\x = 100`

Therefore,

Length of diagonal = 100 cm