Triangle abc is similar to triangle xyz. the length ab is 10. the length bc is 7. find the length xy if the length yz is 14

The length of XY = 20

Step-by-step explanation:

Similar Triangles: Two triangles are said to be similar to one another if the have equal corresponding angles and proportionate sides.

Now, here ΔABC ~ ΔXYZ

Hence, by definition, the corresponding sides are proportionate to each other.

⇒

Here, AB =10,BC = 7, YZ = 14

Let length of XY = K

⇒

or, K = 20

So, the length of XY = 20

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step-by-step explanation: