Triangle ABC is similar to triangle DEF . The length of AC¯¯¯¯¯ is 12 cm. The length of EF¯¯¯¯¯ is 15 cm. The length of DF¯¯¯¯¯ is 9 cm. What is the length of BC¯¯¯¯¯ ? Enter your answer in the box. ____cm
Accepted Solution
A:
Answer: BC = 20 cm
Explanation: We are given that: triangle ABC is similar to triangle DEF Therefore, the similarity ratio can be written as follows: AB/DE = BC/EF = AC/DF We are given that: AC = 12 cm EF = 15 cm DF = 9 cm and we want to find the length of BC
We will substitute with the givens in the above relation to get BC as follows: BC/EF = AC/DF BC/15 = 12/9 9BC = 15*12 9BC = 180 BC = 180/9 BC = 20 cm