Question

Given triangle ABC ~ triangle XYZ, what is the value of cos(Z)

Answer 1

cos(Z) = 12/13

Explanation:

Given that the triangles ABC and XYZ are similar (their corresponding angles are congruent and the corresponding sides are in proportion), then cos(Z) is equal to cos(C).

From the picture attached:

cos(C) = adjacent/hypotenuse

cos(C) = 12/13