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The formula for the length of the diagonal of a rectangle with sides of length a and b...

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The formula for the length of the diagonal of a rectangle with sides of length a and b is d = `sqrt(a^2 + b^2)`

Solve for a

 

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The formula for the length of the diagonal of a rectangle with sides of length a and b is d =` sqrt(a^2+b^2)`

Now squaring both sides we get:

`d^2=a^2+b^2`

`rArr a^2=d^2-b^2`

`rArr a=sqrt(d^2-b^2)`

Therefore, a= `sqrt(d^2-b^2)`   units.

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