Question

In ∆ABC and ∆XYZ,  AB/YZ = BC/ZX = AC/XY then by which correspondence are ∆ABC and ∆XYZ similar?​

Answer 1

Answer:

by sss similarity rule they are similar

Answer 2

Answer:

Let DB and WY be the projections of AB and XY on lines l and m respectively.

⇒DB and WY are the heights of △ABC and △XYZ respectively.

It is given that ∠ABC and ∠XYZ are supplementary.

Let ∠ABC=θ⇒∠XYZ=180o−θ.

⇒∠DBA=90o−θ, and,

∠XYW=180o−θ−90o=90o−θ.

⇒∠DBA=∠XYW.

⇒cos∠DBA=cos∠XYW.

⇒DBAB=WYXY⇒DBWY=ABXY=BCYZ.

⇒Area△ABCArea△XYZ=BC×DBYZ×WY=(BCYZ)(DBWY)

=(ABXY)(ABXY)=(ABXY)2.

Step-by-step explanation:

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