Question

if the distance between A(0,9) and B(a,0) is 15 units then find the value of a

Answer 1

Hey,

Question:-

If the distance between A(0,9) and B(a,0) is 15 units then, find the value of a?

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Process:-

$distance \: formula = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} }$

Solution:-

A(0,9) ; x1 = 0 ; y1 = a

B(a,0) ; x2 = a ; y2 = 0

Therefore,

$= > \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \\ = > \sqrt{ {(0 - a)}^{2} + {(a - 0)}^{2} } </p><p> \\ = > \sqrt{ {( - a)}^{2} + {(a)}^{2} } \\ = > \sqrt{ {a}^{2} + {a}^{2} } \\ = > \sqrt{2 {a}^{2} } \\ = > a \sqrt{2}$

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Thankyou~