35.7k views
4 votes
A 2 B 4 3 C 1. Find the length of segment DF. 2. Find the length of segment EF. 1.63 D E F​

A 2 B 4 3 C 1. Find the length of segment DF. 2. Find the length of segment EF. 1.63 D-example-1
User Shavanna
by
8.0k points

1 Answer

6 votes

Answer:

1. DF = 3.26

2. EF = 2.445

Explanation:

It is not stated, but I assume triangle ABC is similar to triangle DEF.

With that assumption, then:

AB/DE = BC/EF = AC/DF

Now we substitute all the given numbers.

2/1.63 = 3/EF = 4/DF

Look at the first two fractions and solve for EF:

2/1.63 = 3/EF

2(EF) = 1.63 × 3

EF = 2.445

Look at the first and third fractions and solve for DF.

2/1.63 = 4/DF

2(DF) = 4 × 1.63

DF = 3.26

User John Gagnon
by
7.5k points