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Triangles A B C and X Y Z are shown. Angles A B C and X Y Z are right angles. Angles B A C and Y X Z are congruent. The length of A B is 5, the length of A C is 13, and the length of B C is 12. Given △ABC ~ △XYZ, what is the value of cos(Z)? Five-thirteenths Five-twelfths Twelve-thirteenths Twelve-fifths

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Answer:

The answer is C on Edge 2020

Step-by-step explanation:

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Applying the cosine ratio, the value of Cos(Z) is: C. 12/13.

How to Find the Cosine Ratio of an Angle?

In a right triangle, the cosine ratio is given as, cos ∅ = adjacent length/hypotenuse length.

Similar triangles will have the same ratios, therefore:

Cos(Z) = cos(C) = adjacent/hypotenuse = 12/13

The value of Cos(Z) is: C. 12/13

Learn more about the cosine ratio on:

https://brainly.com/question/15793827

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