206k views
11 votes
7. Triangles CDE and RST are similar triangles. What is

the length of side CD in triangle CDE?
R
40 ft.
32 ft.
20 ft.
T
S

7. Triangles CDE and RST are similar triangles. What is the length of side CD in triangle-example-1

2 Answers

11 votes

Answer:

CD = 25 ft

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is


(CD)/(RS) =
(CE)/(RT) , substitute values


(CD)/(20) =
(40)/(32) ( cross- multiply )

32CD = 800 ( divide both sides by 32 )

CD = 25

User Halofourteen
by
6.6k points
13 votes

Answer:

CD = 25 ft

Explanation:


\triangle CDE \sim \triangle RST


\therefore (CD)/(20)=(40)/(32)

(Corresponding sides of similar triangles are in proportion)


\therefore (CD)/(20)=(5)/(4)


\therefore CD = (5)/(\cancel 4)* \cancel {20} \:\:\blue{\bold{5}}


\therefore CD = 5* 5


\therefore CD = 25\: ft

User Ben Golden
by
7.0k points