ABCD is a square. Draw an equilateral triangle PBC on side

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ABCD is a square. Draw an equilateral triangle PBC on side BC considering BC is a base and an equilateral triangle QAC on diagonal AC considering AC is a base. Find the value of
Area of ∆PBC
Area ∆QAC

1. 1/2
2. 1
3. 1/3
4. 1/4

Correct Option: A

Side of square = x units
Diagonal of square = √2x units

∴	Area of ∆PBC	=					√3	x²
∴	Area of ∆QAC			4
						√3	(√2x)²	x²
						4	(√2x)²

= 1/2