Q.

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

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a

203

b

215

c

815

d

152

answer is A.

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Detailed Solution

AD=|−2−2−1(2)2+(−1)2|=|−55|=5tan600=ADBD⇒3=5BD⇒BD=53Hence, 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 the sides of the triangle is