Find x if distance between points L(x, 7) and M(1, 15) is 10.
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Distance between two points is
Sqrt[ (x2-x1)^2 + (y2-y1)^2]
That implies
Sqrt[(1-x)^2 +(15-7)^2]=10
That implies
(1-x)^2 +64 = 100
(1-x)^2 = 100-64 =36
(1-x)= sqrt(36)
1-x = 6
X= -5
Sqrt[ (x2-x1)^2 + (y2-y1)^2]
That implies
Sqrt[(1-x)^2 +(15-7)^2]=10
That implies
(1-x)^2 +64 = 100
(1-x)^2 = 100-64 =36
(1-x)= sqrt(36)
1-x = 6
X= -5
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