Question 3 (20 points)
An oblique prism has a square base and height of 3 centimeters.

What is the volume of the prism?

a
45 cm3

b
60 cm3

c
75 cm3

d
30 cm3

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

jeff jeff

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im with everythinglos so yeahhhhh

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1 liter of pineapple juice was made i think.

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