John is planning on building a shelf in the shape of a right triangle. He wants the shelf to be 99 inches at its widest and 4040 inches long. He believes the diagonal will be 41 inches. Is he accurate?

Given:

Shape of the shelf is a right triangle.

Width of the shelf = 9 inches

Length of the shelf = 40 inches

He believes the diagonal will be 41 inches.

To find:

Whether he is accurate or not.

Solution:

According to the Pythagoras theorem,

Using Pythagoras theorem, find the length of the diagonal.

Taking square root on both sides.

But side cannot be negative.

Therefore, the length of the diagonal is 41 inches. So, John is accurate.

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