Question

In triangle DEF, line PQ is parallel side EF, If DP =2.4, PE =7.2, PQ =1 then find QF

Answer 1

Answer:

Length QF= 3

Step-by-step explanation:

Given statement,

Triangle DEF

PQ parallel to EF

Length DP=2.4

PE=7.2

PQ=1

Now, as PQ is parallel to EF, that means it divide the side DF and DE in a proportional ratio.

Let, l be the total length of side DF.

Length DE=2.4+7.2=9.6

DP/DE=DQ/DF

2.4/9.6=1/l

l=9.6/2.4

l=4

Length QF= l-1

=4-1=3

Length QF=3

Answer 2

Answer:

QF=3

Step-by-step explanation:

traingle Def

pQ parallel to EF length do=2.4

pE=7.2

DQ=1

Now as pQ is parallel to ef that means it divide the side ef and de in a proportional ratio

let I be the total length of side df

length de=2.4+7.2

dp/de=dQ/df

2.4+9.6=7/I

I=9.6/2.4

I=4

length QF=I-1

=4.-1=3 length Qf=3