Given triangle ABC with AB = 3 , BC = 5 , and CA = 6. X is the midpoint of AC and Y is the midpoint of CB. What is the relationship between XY and AB?

From the calculations, XY is parallel to AB and the length of AB is twice that of XY

Step-by-step explanation:

Here, we want to find the relationship between XY and AB

we start by drawing an image representing the information in the question

Please check the attachment for this;

Firstly, from the image drawn, the side XY is parallel to AB and we have a set of similar triangles

These are triangles ABC and CXY

If two triangles are similar, then, the ratio of their sides are equal

Thus, mathematically;

AC/AB = CX/XY

6/3 = 3/XY

XY = (3 * 3)/6

XY = 9/6

XY = 1.5

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step-by-step explanation:

i used the pitagoras theoreme

sorry but i cant draw that