Question

The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to the length of the rectangle in feet

Answer 1

The length is APPROXIMATELY equal to 12.4.

Explanation:

Use the converse of the Pythagorean Theorem (
`a^(2)`+
`b^(2)`=
`c^(2)` [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

`13^(2) = 169`

`4^(2) =16`

169-16=153.

`√(153)` ≈ 12

or

`√(153)=12.36931688`

or if the problem has to be exact (using radicals)

3*
`√(17)`

I hope this helps ;)