Answer:
The area of the new enlarged triangle is 4 times the original triangle.
Step-by-step explanation:
Lets take this triangle to be an equilateral triangle.
Area is given by :[tex]\frac{\sqrt{3} }{4} \times a^{2}[/tex]
And let us assume the side to be 7 units.
Area when side is 7 units:
So, area = [tex]\frac{\sqrt{3} }{4} \times(7)^{2}[/tex]
= 21.22 square units.
When each side is enlarged to twice. That gives side is 14 units.
So, area = [tex]\frac{\sqrt{3} }{4} \times(14)^{2}[/tex]
= 84.87 square units
So, the enlarged area is : [tex]\frac{84.87}{21.22}[/tex]= 3.999≈ 4 times the original area.
Answer: The area of the new enlarged triangle is 4 times the original triangle.
