Question

. If each side of an equilateral triangle is doubled, then its area becomes 4 sides. True or false

Answer 1

Answer:

True

Step-by-step explanation:

According to the formula,

     the area of an equilateral triangle is (S) = $\frac{\sqrt{3} }{4} * a^{2}$      [Where a = length of sides]

∴ If each side of an equilateral triangle is doubled, the area of the equilateral triangle will be =  $\frac{\sqrt{3} }{4} * (2a)^{2}$ =  $\frac{\sqrt{3} }{4} * 4*(a)^{2}$ =  $4*(\frac{\sqrt{3} }{4} * a^{2}) = 4S$

∴ Its area becomes 4 sides.

∴ The statement is correct.