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  1. An equilateral triangle is drawn on the diagonal of a square. The ratio of the area of the triangle to that of the square is
    1. 3 : 2
    2. 2 : √3
    3. 2 : √3
    4. 1 : √2
Correct Option: C

Using Rule 6 and 10,
Let the side of the square be x units, then
diagonal = 2x units
∴ Area of the square = x² and area of triangle

=
3
(√2x)²
4

=
3
sq. units
2

∴ Required ratio
= x² :
3
= 2 : √ 3 sq. units
2



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