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

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step 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.

$\sqrt{153}$ ≈ 12

or

$\sqrt{153}=12.36931688$

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

3*$\sqrt{17}$

I hope this helps ;)