Diego needs to cut a large piece of wood into 2 smaller pieces for a project he is working on. The longer piece needs to be 4 inches shorter than triple the shorter piece. If the length of the uncut piece of wood is 44 inches long, what is the length of the longer piece of wood?

the first one

step-by-step explanation:

just id the test.

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

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2