Question

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△ABC is similar to △XYZ. Also, side AB measures 6 cm, side BC measures 18 cm, and side XY measures 12 cm. What is the measure of side YZ ? Enter your answer in the box.

Answer 1

Answer: 36 cm

Explanation:

Since,
`\triangle ABC\sim \triangle XYZ`

In the similar triangles the corresponding sides are in the same proportion,

`\implies (AB)/(BC) = (XY)/(YZ)`

`\implies (6)/(18) = (12)/(YZ)`

`\implies 6YZ =18* 12`

`\implies 6YZ =216`

`\implies YZ=36\text{ cm}`