Question

the area of an equilateral triangle with each side measuring 15 cm is how many times does area of an equilateral triangle with each side measuring 8 cm​

Answer 1

Answer:

Step-by-step explanation:

Area of equilateral triangle = (√3/4)a²

     For side = a = 15 cm

Area of triangle = (√3/4) (15)²

                         = 225√3/4  cm²  

It can be simplified as 56.25√3 cm²  or  97.42 cm².

For side = a = 8 cm

Area of triangle = (√3/4) (8)²

                          = 64√3/4 cm²     ...(2)

Ratio of (1) and (2),

 =  (225√3/4) / (64√3/4)

 =  225 / 64

Hence the required ratio is 225 : 64