Question

Side of square whose diagonal is 12 root 2

Answer 1

Answer:

12 units

Step-by-step explanation:

Let ABCD be a square.

AC is the diagonal = 12√2

Now, we know that each interior angle of a square is 90° and all the sides are equal.

AB=BC=AD=CD

Then ∆ABC is a right angled triangle.

AB²+ BC² = AC² (Pythagoras theorem)

2AB²= (12√2)²

2AB²= 288

AB²= 288÷2

AB²= 144

AB = √144

AB = 12 units