Question

A rectangular sheet of paper is folded diagonally from A to C what is the length of side B

Answer 1

AC =
`√(AB^2 + BC^2)`

Explanation:

Here we have to draw the figure.

When the rectangle is folded A to C. we get a right triangle.

Here we have to use the Pythagorean theorem to find the side lenght of B.

The sides length of B is AC.

By the Pythagorean theorem, the sum of the squares of the sides is equal to the square of the hypotenuse.

Therefore,

AC^2 = AB^2 + BC^2

Taking the square roots on both sides, we get

AC =
`√(AB^2 + BC^2)`