Question

Diagonal of the square is 12 root 2 find the ratio between the area of the square and diagonal

Answer 1

Answer:

6√2 : 1

Step-by-step explanation:

Let the side of square be a.

using Pythagoras theorem,

a² + a² = (12√2)²

2a² = 288

=> a² = 144

=> a = 12 cm.

Area of square = a² = 144

Ratio of Area of square to diagonal = 144/12√2 = 12/√2 = 6√2/1

                                                           = 6√2 : 1