Question

The question is below, plz answer, will give brainliest

Answer 1

By comparing the right triangle ABC with the triangle XYZ, we will see that:

• AC = 5
• BC = 10.

How to find the given segments?

So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.

Also, remember that for right triangle we have the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Now, the problem tells us that:

tan(x) = 5/2.5

For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.

Then we have:

YZ  = 5

XY = 2.5

Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:

AC = 2*XY = 2*2.5 = 5

CB = 2*YZ = 2*5 = 10

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700