The length of a rectangle is 3 cm and the width is 2 cm. find the length of the diagonal.

Is there a formula to do this?

The length of a rectangle is 3 cm and the width is 2 cm. find the length of the diagonal.

Is there a formula to do this?

The diagonal D and each pair of length L and width W form right triangles which satisfy the Pythagorean Theorem W^2 + L^2 = D^2

Yes, there is a formula to find the length of the diagonal of a rectangle. The formula is derived from the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In the case of a rectangle, the diagonal forms the hypotenuse of a right triangle, with the length and width of the rectangle as the other two sides.

To find the length of the diagonal, you can use the formula:

Diagonal (D) = √(Length squared (L^2) + Width squared (W^2))

Given the length (L) of 3 cm and the width (W) of 2 cm, we can substitute these values into the formula:

D = √(3^2 + 2^2)

Simplifying further:

D = √(9 + 4)

D = √13 cm (approximately 3.6 cm)

Therefore, the length of the diagonal of the rectangle is approximately 3.6 cm.

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 side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the length of the rectangle is 3 cm and the width is 2 cm. We can consider the diagonal as the hypotenuse of a right triangle, with the length and width as the other two sides. Let's call the length of the diagonal D.

Now, according to the Pythagorean theorem, we have:

D^2 = 3^2 + 2^2

Simplifying, we get:

D^2 = 9 + 4

D^2 = 13

To find the length of the diagonal, we can take the square root of both sides:

D = sqrt(13) cm

Therefore, the length of the diagonal of the rectangle is sqrt(13) cm, which is approximately 3.61 cm.