Vanessa C.

asked • 02/25/21

FIRST QUESTION: if triangle XYZ is similar to triangle PMN, what is the value of ∠X when ∠P=30°?

FIRST QUESTION: if triangle XYZ is similar to triangle PMN, what is the value of ∠X when ∠P=30°?


SECOND QUESTION: if triangle XYZ is similar to triangle PMN and side X=6, side Y=2, and side P=12, what is the length of side M?

Helen C.

Can you clarify what is meant by side X, side P, and side M. As an example if we have and angle ∠X, what is the location of the side X on the triangle? Is it length from X to Y or from X to Z or opposite ∠X? Same question for ∠P and side P and ∠M and side M. Not able to answer this question without this information.
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02/25/21

Mark M.

Convention is that side x is opposite angle X.
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02/25/21

1 Expert Answer

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Jon S. answered • 02/25/21

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First Question: The corresponding angles of similar triangles are equal. <X and <P are corresponding angles so they are equal and <X = <P = 30.


Second Question: The ratio of corresponding sides of similar triangles are the same. So the ratio of X to P will equal the ratio of Y to M:


6 = 2

--- ----

12 M


M = 4


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