Find the area of the triangle. ол
12
o 30 in
O
22.5 in2
o 24 in?
shiny 18 in?

22.5 i thiink

Step-by-step explanation:

9,4,5.     12

18

o24

which means it is...

look at the answer

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