Question

A rectangle has dimensions 6 in. by 12 in. What is the length of the diagonal of the rectangle? Round your answer to the nearest tenth if necessary.

Answer 1

The rectangle has width 6 in and length 12 in

The diagonal forms a right triangle with both the width anf length of the rectangle:

To determine the length of the diagonal, you have to apply the Pythagorean theorem that states that the square of the hypothenuse is equal to the sum of squares of the sides of the triangle:

`a^2+b^2=c^2`
`\begin{gathered} 12^2+6^2=c^2 \\ 180=c^2 \\ c=6\sqrt[]{5} \end{gathered}`

The length of the diagonal of the rectangle is 6√5