Question

The ordinate of the third vertex of an equilateral triangle whose two vertices are (2,4)and (2,6)is​

Answer 1

ΔŇŞŴ€Ř

MATHS

If (2,4),(2,6) are two vertices of an equilateral triangle then the third vertex is

A .

(2+3,5)

B .

(3−2,5)

C .

(5,2+3)

D .

(5,2−3)

December 20, 2019Afsha Riya

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ANSWER

Let the coordinate of 6 be (x,y) in an equilateral triangle all sides are of equal length.

⇒AB=AC=BC

Here AB=(2−2)2+(6−4)2=22=2units

and AC=(2−x)2+(4−y)2=2units........(1)

BC=(2−x)2+(6−y)2=2units.......(2)

also, AC=BC

⇒(2−x)2+(4

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