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Final value of a if distance between the points (-9 cm, a cm) and (3 cm, 3cm) is 13 cm.

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Solution :
By using distance formula `d=sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2))rArr 13=sqrt([13-(-9)]^(2)+[3-a]^(2))` <br> `rArr 13^(2)=12^(2)+(3-a)^(2) rArr (3-a)^(2)=13^(2)-12^(2)=5^(2) rArr (3-a)=+-5 rArr a=-2` cm or `8cm`

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