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Find value of a if distance between the ...

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

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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))`
`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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