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1 vote
O YZ/BC = 6/3
O B= O BC/YZ= 6/3
O

O YZ/BC = 6/3 O B= O BC/YZ= 6/3 O-example-1
User Randi
by
8.4k points

1 Answer

4 votes

Answer:


\boxed{\tt ( BC )/(YZ)=(6)/(3)}

Explanation:

Given:


\tt (AB)/(XY) =(4)/(2)


\tt (AC)/(XZ) =(√(52))/(√(13))=(2)/(1)

what is left
ΔABC
\sim Δ XYZ by SSS similarity theorem.

To be a similar triangle the ratio of the corresponding side should be

The ratio of corresponding side lengths in ΔABC ~ ΔXYZ is:


(AB)/(XY) = (AC)/(XZ) = (2)/(1)

Here one corresponding side's ratio is left.

The one corresponding side
( BC )/(YZ)=(2)/(1).

let's see the option,


( YZ )/(BC)=(6)/(3)=(2)/(1).

since here,
( BC )/(YZ)=(1)/(2). so, we cannot say this is the correct answer.

let's see the second option:

∡B ≅ ∡Y

since one angle cannot determine a similar triangle,

so, we cannot say this is the correct answer.

Let's see the third option


( BC )/(YZ)=(6)/(3)=(2)/(1)

since the corresponding side ratio is
(2)/(1),

so,

so, we can say this is the correct answer.

Therefore,

The answer is option third.


\boxed{\tt ( BC )/(YZ)=(6)/(3)}

User Rrcal
by
8.2k points

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