Can a triangle be formed with the given side lengths: 37°, 106°, 36°?

No

Step-by-step explanation:

the side lengths would need to add up to 180, these add up to 179

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

it's undefined because anything multiplied by 0 is 0. that said, 7 days is 168 hours