210k views
0 votes
The ratio of the sides of EBD to the sides of ABC is 3:4. Calculate the side lengths of ABC (Round to the nearest hundredth)

The ratio of the sides of EBD to the sides of ABC is 3:4. Calculate the side lengths-example-1

1 Answer

6 votes

Answer:

The side lengths of triangle ABC are 6, 6.67 and 5.33

Explanation:

In this question, we are interested in calculating the lengths of triangle ABC

ED: AC = 3:4

4.5:AC = 3:4

4.5/AC = 3/4

3AC = 4 * 4.5

3AC = 18

AC = 18/3 = 6

EB:AB = 3:4

5/AB = 3/4

3AB = 4 * 5

3AB = 20

AB = 20/3 = 6.67

DB:CB = 3/4

4/CB = 3/4

3CB = 4 * 4

CB = 16/3 = 5.33

User Hyunbong Lee
by
4.4k points