Answered

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In triangle ABC, points D and E are on sides AB and BC, respectively,
such that DE | AC, and AD:DB = 3:5.
If DB = 6.3 and AC = 9.4, what is the length of DE, to the nearest
tenth?

Sagot :

MrRoyal

The length of DE in the triangles is 5.9

How to determine the length of DE?

The given parameters are:

DB = 6.3

AC = 9.4

AD : DB = 3 : 5

Substitute DB = 6.3 in AD : DB = 3 : 5

AD : 6.3 = 3 : 5

Express as fraction

AD / 6.3 = 3 / 5

Multiply both sides by 6.3

AD = 3.78

The length DE is then calculated using the following ratio:

BD : DE = BA : AC

Where:

BA = BD + AD

This gives

BD : DE = BD + AD : AC

Substitute known values

6.3 : DE = 6.3 + 3.78 : 9.4

Simplify

6.3 : DE = 10.08 : 9.4

Express as fraction

DE/6.3 = 9.4/10.08

Multiply both sides by 6.3

DE = 5.9

Hence, the length of DE is 5.9

Read more about similar triangles at

https://brainly.com/question/14285697

#SPJ1

View image MrRoyal
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