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The diagonal of the rectangle is 61cm and the width is 11cm. How to you find the length?

Answer 1

Eli Assouline

#L# = #sqrt(3842# or #61.98386887

#d# = #sqrt(L^2 = W^2#

#L# = #sqrt(d^2 - W^2#

#L# = #sqrt(61^2 - 11^2#

#L# = #sqrt(3721 - 121#

#L# = #sqrt(3842#

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Answer 2

Savannah Anderson

To find the length of the rectangle, you can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the other two sides (the length and width of the rectangle).

Using this theorem, you can set up the equation as follows:

Length^2 + Width^2 = Diagonal^2

Substituting the given values:

Length^2 + 11^2 = 61^2

Simplifying the equation:

Length^2 + 121 = 3721

Subtracting 121 from both sides:

Length^2 = 3600

Taking the square root of both sides:

Length = √3600

Length = 60 cm

Therefore, the length of the rectangle is 60 cm.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.