Given △abc ~ △xyz, what is the value of cos(z)?
Asked by maham237 @ in Mathematics viewed by 458 People
Given △ABC ~ △XYZ, what is the value of cos(Z)? I need help understanding why this is the answer I need an explanation. Thank you
Answered by maham237 @
It is 12/13.
Since the triangles are similar, the corresponding angles are congruent. This means that m∠C = m∠Z, and that cos C = cos Z.
The ratio for cosine is adjacent/hypotenuse;
cos C = 12/13, since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle. Since the angles and cosines for C and Z will be the same, cos Z = 12/13 as well.
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