Question

in triangle abc the points D and P are on line a b and the points p and q are on line AC such that d e parallel PQ parallel BC if ad is to DP is to B E is equals 1 is to 2 is to 3 then AE is to EQ is to QC equals​

Answer 1

Your question is wrong the correct question is

In triangle abc the points D and P are on line a b and the points e and q are on line AC such that d e parallel PQ parallel BC if ad is to DP is to B E is equals 1 is to 2 is to 3 then AE is to EQ is to QC equals​

Now AD:DP:BE=1:2:3

So,AD:DP=1:2

&

DP:PB=2:3

AD+DP:PB=3:3

→AP:PB=3:3

Now ∆ADE ≈APQ

So,AD:DP=AE:EQ

→AE=EQ=1:2----------(1)

Also

∆APQ≈∆ABC

So,

AP:PB=AQ:QC

→AQ:QC=3:3

→AE+EQ:QC=3:3

→1+EQ:QC=1+2:3

→EQ:QC=2:3---------(2)

From (1) & (2) we get

AE:EQ:QC=1:2:3

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Answer 2

1

$\times 2 \times 3 \times = 6 answer \: is \: 6$

In a triangle all sides are equal