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Please help!!
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2.5 over 5.59.
Part A: Use complete sentences to explain the special relationship between the trigonometric ratios of triangles XYZ and ACB. You must show all work and calculations to receive full credit.
Part B: Explain how to find the measures of segments AC and AB. You must show all work and calculations to receive full credit.

Respuesta :

MrRoyal

The relationship between the trigonometric ratios are cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

The relationship between the trigonometric ratios

The given parameters are:

  • Scale factor of dilation, k = 2
  • cos(X) = 2.5/5/59

Since the transformation is a dilation, it means that both triangles are similar.

So, we have:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

The segments AC and AB.

In (a), we have:

Both triangles are similar.

This means that the corresponding points are:

X and A

Y and  C

Z and B

So, we have:

AC = 2 * XY

AB  = 2 * XZ

Read more about dilation at:

https://brainly.com/question/13176891

#SPJ1

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