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Questions based on Equilateral triangle || Internal division & External division

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Section formula (External division)

Section formulae (Internal division)

Internal Division|| External Division|| Enternal External Bisector

Vector equation OF line || Ceva's theorem || Menelaus theorem || Ratio based question || Internal angle bisector and External angle bisector

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 " Delta PBC)/("Area of " Delta QAC) .

What is Section formula And internal / external division formula

The base of an equilateral triangle with side 2a lies along the yaxis such that the midpoint of the base is at the origin.Find vertices of the triangle.

ABC is a equilateral triangle and CD is internal bisector of angleC . If DC is extended to E in such a way that AC = CE then angleCAE is-