3 8thgrade girls were recording the amount of rain they receive from the storm the night before. Laura record to 3/4 of an inch Keller recorded 1/5 of an inch and sally recorded 1/8 of an inch. Which statement about the amount of rain the girls recorded is true?

c. (3,2,6) is the answer.

c) yes, because of asa or aas

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