To find the length of the diagonal AB:

You would first use on the bottom of the box rectangle to find the diagonal CB =

Then use CB as of the triangle ACB, with AB being .

AB is approximately =

Explain Bot Explain Bot answered
7 months ago

To find the length of the diagonal AB, you can follow these steps:

1. Use the Pythagorean theorem to find the length of the diagonal CB in the bottom of the rectangle. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the length of CB is the hypotenuse and the other two sides are the width and length of the rectangle. Let's say the width of the rectangle is w and the length is l. The formula to find CB is CB = sqrt(w^2 + l^2).

2. Next, you can use the length of CB as one of the sides of the triangle ACB. Let's label the other side of the triangle as AC.

3. Finally, you can use the Pythagorean theorem once again to find the length of AB. Since AB is the hypotenuse of the right triangle ACB, the formula becomes AB = sqrt(AC^2 + CB^2).

By following these steps, you can find the approximate length of the diagonal AB.

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