An artist is attempting to stretch a canvas that is 9 by 12 inches. In order to check that the canvas is actually rectangular, the artist will measure the diagonal to determine if the corners form true right angles. What length should the diagonal of the stretched canvas be?

step-by-step explanation:

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

1?

step-by-step explanation:

for sure i am wrong and read nothing

anwser : 9 years

pats age should be less than 10 , therefore the greatest age (in integer)that pat can be is 9 years