213k views
4 votes
If |AB| / |DE|=7/5 then what is |AD| / |CD|?DE is parallel to AB

If |AB| / |DE|=7/5 then what is |AD| / |CD|?DE is parallel to AB-example-1

1 Answer

1 vote

Answer: AD/CD = 2/5

Step-by-step explanation:

Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)

Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,

AB/DE = BC/EC = AC/DC

From the information given,

AB/DE = 7/5

Thus,

AC/DC = 7/5

AD + CD = AC

(AD + CD)/DC = 7/5

AD/DC + CD/DC = 7/5

AD/DC + 1 = 7/5

AD/DC = 7/5 - 1

AD/DC = 2/5

AD/CD = 2/5

User Chuckedw
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories