Leah's rectangular driveway is 48 feet long and 14 feet wide. With sidewalk chalk, Leah drew a straight diagonal line on her driveway from one corner to the opposite corner. How long is the diagonal line Leah drew?

correct answers below:

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4