Kamdyn70
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In the figure below, triangle ABC is similar to triangle PQR, as shown below:

what is the length of side PQ?

A) 18

B) 4

C) 32

D) 6​

In the figure below triangle ABC is similar to triangle PQR as shown belowwhat is the length of side PQA 18B 4C 32D 6 class=

Respuesta :

absor201

Answer:

So, Option A is correct.

Step-by-step explanation:

If the triangles are similar, then the sides are proportional

If triangle ABC is similar to triangle PQR

then sides

AB/PQ = BC/QR = AC/PR

We need to find PQ

We are given AB = 6, BC =8 and QR=24

AB/PQ = BC/QR

Putting values:

6/PQ = 8/24

Cross multiplying:

6*24 = 8*PQ

144/8 = PQ

=> PQ = 18

So, Option A is correct.

luisejr77

Answer: Option A

[tex]PQ=18[/tex]

Step-by-step explanation:

Two triangles are similar if the length of their sides is proportional.

In this case we have the triangle ∆ABC and ∆PQR so for the sides of the triangles they are proportional it must be fulfilled that:

[tex]\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}[/tex]

In this case we know that:

[tex]BC=8[/tex]

[tex]QR=24[/tex]

[tex]AB=6[/tex]

Therefore

[tex]\frac{BC}{QR}=\frac{AB}{PQ}[/tex]

[tex]\frac{8}{24}=\frac{6}{PQ}[/tex]

[tex]PQ=6*\frac{24}{8}[/tex]

[tex]PQ=18[/tex]

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