SOLUTION: A rectangle has side length 30 mm and diagonal length 34 mm. Find the length of the other side of the rectangle to the nearest whole number.

Question 176435This question is from textbook
: A rectangle has side length 30 mm and diagonal length 34 mm. Find the length of the other side of the rectangle to the nearest whole number. This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If we cut the rectangle in half along the diagonal, we get the following triangle:

Since the legs are and this means that and

Also, since the hypotenuse is , this means that .

Start with the Pythagorean theorem.

Plug in , ,

Square to get .

Square to get .

Subtract from both sides.

Combine like terms.

Take the square root of both sides. Note: only the positive square root is considered (since a negative length doesn't make sense).

Simplify the square root.

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Answer:

So the solution is which means that the other side length is 16 mm
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