Question

an equilateral triangle is described on the diagonals of a square what is the ratio of the area of the triangle to that of the square ​

Answer 1

Answer:

2 : √3

Step-by-step explanation:

let length of a side of square= a

=> area of square = a²

=> digonal = a√2

=> area of equilateral triangle= (a√2)²√3 /4

= 2a²√3/4= a²√3/ 2

=> ratio => a² : a²√3/2

=> 1 : √3/2

=> 2 : √3