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Gennadij [26K]
3 years ago
6

7. Triangles CDE and RST are similar triangles. What is

Mathematics
2 answers:
Simora [160]3 years ago
8 0

Answer:

CD = 25 ft

Step-by-step explanation:

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

\frac{CD}{RS} = \frac{CE}{RT} , substitute values

\frac{CD}{20} = \frac{40}{32}  ( cross- multiply )

32CD = 800 ( divide both sides by 32 )

CD = 25

andreyandreev [35.5K]3 years ago
6 0

Answer:

CD = 25 ft

Step-by-step explanation:

\triangle CDE \sim \triangle RST

\therefore \frac{CD}{20}=\frac{40}{32}

(Corresponding sides of similar triangles are in proportion)

\therefore \frac{CD}{20}=\frac{5}{4}

\therefore CD = \frac{5}{\cancel 4}\times \cancel {20} \:\:\blue{\bold{5}}

\therefore CD = 5\times 5

\therefore CD = 25\: ft

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