Q.

If the equation of base of an equilateral triangle is 2x−y=1 and the vertex is −1,2, then the length of sides of the triangle is

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a

20/3

b

2/15

c

8/15

d

15/2

answer is A.

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Detailed Solution

AD=−2−2−122+−12=−55=5∵  tan600=ADBDor 3=5BDor BD=53∴   BC=2BD=253=203
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If the equation of base of an equilateral triangle is 2x−y=1 and the vertex is −1,2, then the length of sides of the triangle is