Question
Find x if distance between points L(x, 7) and M(1, 15) is 10.
✓
Answer
According to the distance formula, the distance 'd' between two points (a,b) and (c,d) is given by
$d=\sqrt[2]{(a-c)^2+(b-d)^2} \ldots(1)$
Distance between $LM =\sqrt{( x -1)^2+(7-15)^2}=10$
Squaring both sides, we get
$(x-1)^2+64=100$
$(x-1)^2=36$
$x-1= \pm 6$
Hence $x=7$ or -5
$d=\sqrt[2]{(a-c)^2+(b-d)^2} \ldots(1)$
Distance between $LM =\sqrt{( x -1)^2+(7-15)^2}=10$
Squaring both sides, we get
$(x-1)^2+64=100$
$(x-1)^2=36$
$x-1= \pm 6$
Hence $x=7$ or -5
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