Question

What is the area of the inner equilateral triangle if the side of the outermost square is ‘a'? (abcd is a square)?

Answer 1

area of equilateral triangle will be
side^2 - root 3/4* side^2

Answer 2

Answer:

√3a²/16

Step-by-step explanation:

According to question, there will be square = ABCD, consisting of the triangle EGF. Thus,

BD ∥ EF and BD = 2EF

Therefore, EF = 1/2 × a

Therefore, area of equilateral triangle

= √3/4 (1/2a)²

= √3/4 × 1/4a²

= √3a²/16

Thus, the area of the inner equilateral triangle if the side of the outermost square is √3a²/16.