Question

∆ABC ~ ∆XYZ ,9xA(∆XYZ)=16xA(ABC) .if YZ=20 then find BC.​

Answer 1

Answer:

Given that ΔABC and Δxyz are equilateral triangles.

i.e., AB=BC=CA

and

XY=YZ=ZX …………….(1)

and

here AB=XY ………………(2)

By equation (1) & (2)

BC=YZ and CA=ZX …………….(3)

We have to show that

ΔABC=ΔXYZ

In ΔABC and Δxyz

AB=XY (Given)

BC=YZ (by equation (2))

CA=ZX (by equation (3))

ΔABC=Δxyz(By sss rules).