Which of the following sets of numbers could not represent the three sides of a triangle?
O {12, 24, 33}
{14, 19, 31}
Submit Answer
O {12, 26, 39}
{11, 18, 26}

11 feet 6 inches and 8 feet 6 inches

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