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If a rectangle is r feet long and s feet​ wide, which expression represents the length of its diagonal in terms of r and​ s? A rectangle has a vertical side labeled s and a horizontal side labeled r. A line segment labeled diagonal extends from the bottom left vertex to the top right vertex. The bottom right vertex contains a small box. r s Diagonal Choose the correct answer below. A. B. C. D.

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The length of its diagonal in terms of r and​ s is √r² + s²

In order to get the length of the diagonal of a triangle, we will use the Pythagoras theorem:

Pythagoras theorem states that the sum of the square of the diagonal is equal to the sum of the square of the other two sides.

Given the following

Length = r feet

width = s feet

The diagonal "l" will be expressed as;

l² = r² + s²

Take the square root of both sides

√l² = √r² + s²

l = √r² + s²

Hence the length of its diagonal in terms of r and​ s is √r² + s²

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