Question

the ratio of the sides of two equilateral triangle is 4:9.find the ratio of their area.​

Answer 1

Answer:

16 : 81

Step-by-step explanation:

the ratio of the sides of two equilateral triangle is 4:9.

Let say sides of one triangle = 4K

sides of other Triangle = 9K

Area of Equilateral Triangle = (√3 /4)Side²

Area of Equilateral Triangle with side 4K  =  (√3 /4)(4K)²

= 16 (√3 /4)K²

Area of Equilateral Triangle with side 9K  =  (√3 /4)(9K)²

= 81 (√3 /4)K²

Ratio of Areas = 16 (√3 /4)K² :  81 (√3 /4)K²

= 16 : 81