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An isosceles triangle is drawn outside, keeping one of the sides of a square as the base, in such a way that the perimeter of the complete figure is times the perimeter of the original square.

What is the ratio of the area of the triangle to the area of the original square?

 
1 : 1
2 : 3
1 : 2
1 : 3

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How can you say that PD=DC? what if PC=DC since its an isosceles triangle.. any two sides can be equal