In the figure below, is similar to . What is the length of ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 5, side B C is 12, and side C A is 8. In triangle X Y Z, side X Y is labeled N, side Y Z is 27, and side Z X is 18. The solution is

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AFOKE88 AFOKE88 · Answer 1 · 2022-08-27T11:10:17+02:00

The solution to this similar triangles is; XY = 11.25

In triangle ABC, we see that;

AB = 5, BC = 12, CA = 8.

In triangle XYZ;

XY = N, YZ = 27 ZX = 18

To find:

The length of XY

If two triangles are similar, then their corresponding sides are proportional.

Since ΔABC is similar to ΔXYZ, then we say that;

AB/XY = BC/YZ = CA/ZX

5/N = 12/27 = 8/18

Cross multiply to get;

8N = 18 * 5

N = 90/8

N = 11.25

Thus, the solution is XY = 11.25

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