# How do you find the length of the diagonal of the rectangle given Side one: 12 in, Side two: 7 in?

Diagonal length

....See the entire solution process below:

A diagonal across a rectangle forms a right triangle with the sides of the triangle being the sides of the rectangle and the diagonal being the hypotenuse. Therefore we can use the Pythagorean Theorem to solve this problem.

The Pythagorean Theorem states:

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

Using the Pythagorean theorem, you can calculate the length of the diagonal (d) as follows:

d = √(side one^2 + side two^2)

Plugging in the values for side one (12 in) and side two (7 in):

d = √(12^2 + 7^2) d = √(144 + 49) d = √193 d ≈ 13.928 in

Therefore, the length of the diagonal of the rectangle is approximately 13.928 inches.

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