What is the length of the paintbrush in centimeters? A. 16,200 cm
B. 1,620 cm
C. 16.2 cm
D. 0.162 cm

HEL

v

V

v

fdb

fd

n

fn

f

nf

n

rth

j

ul

y

u

tu

;'/;'/;'/

;'/

;'/

;'/

;'/

;'/

;'/

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