Triangle ABC with an area of 243 cm2

is similar to WXY. If BD = 18 cm and
XZ = 4 cm, what is the length of segment WY?

To find the length of segment WY, we need to use the concept of similarity between triangles.

Given that triangle ABC is similar to triangle WXY, we have a proportion between the corresponding sides of the two triangles.

In similar triangles, corresponding sides are proportional. So, the ratio of any corresponding sides will be the same.

To find the length of segment WY, we can set up a proportion between the corresponding sides in the two triangles.

Let's analyze the given information. BD = 18 cm is a side of triangle ABC, and XZ = 4 cm is the corresponding side of triangle WXY.

We need to find the length of segment WY, which corresponds to side BC.

Using the concept of similarity, we can set up the following proportion:

BC / XY = BD / XZ

Substituting the given values, we have:

BC / XY = 18 / 4

Simplifying the right-hand side of the equation:

BC / XY = 9 / 2

Now, we can solve for BC (the length of segment WY) by cross-multiplying:

BC * 2 = XY * 9

BC = (XY * 9) / 2

Given that XY = 4 cm, we can substitute this value:

BC = (4 * 9) / 2

BC = 36 / 2

BC = 18 cm

Therefore, the length of segment WY is 18 cm.

syugsh

yuqcvqjcvuk