SOLUTION: Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, XY = 2.5, and ZX = 5.59. Part A: Find cos < X. Explain how cos <X compares to cos <A. Part B: Find AC and

Question 1206864: Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, XY = 2.5, and ZX = 5.59.
Part A: Find cos < X. Explain how cos Part B: Find AC and BA. You must show all work and calculations to receive full credit.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Part A: Find cos
assuming you need to find

using formula

In triangle , is the adjacent side to angle , and is the hypotenuse.
we are given and

now, compare to in triangle

since is dilated from triangle by factor , we know that triangles and are , and corresponding angles are
so

Part B: Find and .
Given the scale factor of , the corresponding sides of triangle are the of triangle }.
So,

Answer by ikleyn(52887) (Show Source): You can put this solution on YOUR website!
.

As it is given in the post, cosine of the angle < X CAN NOT be found: there is no enough data for it.

@MathLover1 assumed in her solution that triangle XYZ is a right-angled triangle,
but it is not given in the post,

so, there is no base for this assumption.

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