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Given △QRS ~ △XYZ, what is the value of tan(Q)?

Given △QRS ~ △XYZ, what is the value of tan(Q)?-example-1
User Vildric
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the answer is 3/4 because 9/12 simplified is 3/4
User Antonio Cangiano
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Since the triangles are similar the ratios of the lengths of corresponding sides are equal.

tan Q = opp/adj = RS/QS = YZ/XZ = 9/12 = 3/4
User Mlegrix
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