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Triangles PQR and XYZ are similar. If PQ=6,PR=4,

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Triangles PQR and XYZ are similar. If PQ=6,PR=4, [#permalink] New post 26 May 2019, 01:42
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Triangles PQR and XYZ are similar. If PQ=6,PR=4, XY=9, what is the length of side XZ?

[Reveal] Spoiler: OA
6


Math Review
Question: 7
Page: 260
Difficulty: medium

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Re: Triangles PQR and XYZ are similar. If PQ=6,PR=4, [#permalink] New post 28 May 2019, 13:06
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Carcass wrote:
Triangles PQR and XYZ are similar. If PQ=6,PR=4, XY=9, what is the length of side XZ?

[Reveal] Spoiler: OA
6


Math Review
Question: 7
Page: 260
Difficulty: medium


First draw and label two similar triangles.
Image
NOTE: While labeling, we must be sure to use the same labeling format for both triangles.


Now add the lengths.
Image

For SIMILAR triangles, the ratios of corresponding sides will be equal.

QP and YX are corresponding sides
Also, RP and ZX are corresponding sides

So, we can write: QP/YX = RP/ZX
Replace each side with its actual length to get: 6/9 = 4/n
Cross multiply to get: (6)(n) = (4)(9)
So: 6n = 36
Solve: n = 6

Answer: side XZ has length 6

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Brent
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Re: Triangles PQR and XYZ are similar. If PQ=6,PR=4,   [#permalink] 28 May 2019, 13:06
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Triangles PQR and XYZ are similar. If PQ=6,PR=4,

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