Peggy delivers pizzas. she left the pizza parlor this evening and traveled 4 km east to deliver a pizza to the red house. then she left the red house and traveled 8 km south to the blue house. then she left the blue house and traveled 4 km west to the yellow house, she traveled 2 km north to the green house. she now wants to return to the pizza parlor. what is the shortest distance between the green house and the pizza parlor?

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

answer: the answer is one

step-by-step explanation:

pemdas, in this situation there is no parenthesis or exponents so you go to multiplication, 1x1=1, then division 1/1= 1 then addition 1+1=2 then subtraction 2-1=1