Question

Given a square with a diagonal of 24 What is the length of a side? Show all work and leave your answer in simplest radical form.

Answer 1

12√2

Explanation:

All sides of a square are congruent.

The diagonal of a square is the hypotenuse of a triangle that has 2 sides of the square as the legs.

Let the sides of the square have length x.

a² + b² = c²

x² + x² = 24²

2x² = 576

x² = 288

x = √288

x = 12√2

Answer: 12√2