Find three consecutive positive integers such that the product of the larger two is equal to twice the second integer plus twice the sum of all three integers.

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

the correct answers are 1, 2, 4, and 5! i just got it right!

you did the answer gesesgsesegsge

for one thing their called fish not "fishes" and 2 fish can't be dead and alive and this question is absurd.

step-by-step explanation: