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If two vertics of equilateral triangle …

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If two vertics of equilateral triangle are (4,3)(-4,3) find third vertex

    • Posted by Arjun Choudhary 6 years, 1 month ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Raja_Aniket_ Namdev? 6 years, 1 month ago

    Let the vertices be (x,y) then distance between (x,y) & (4,3) is = ......(1) and distance between (x,y) & (-4,3) is = ..........(2) distance between (4,3) &(-4,3) is = =√(8)²=8 then (1)=(2) or (x-4)²=(x+4)² or x²-8x+16=x²+8x+16 or 16x=0 or x=0 again (1)=8 or (x-4)²+(y-3)²=64.........(3) putting the value of x in (3) then (0-4)²+(y-3)²=64 or (y-3)²=64-16 or (y-3)²=48 or y-3=(+-)4√3 or y=3(+-)4√3 if we choose y as 3+4√3 then origin isn't lies interior of triangle So required vertex is(0,3-4√3).....(ans) by aniket?

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