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Given that ΔPQR is similar to ΔPTS, what is the value of x?

Given that ΔPQR is similar to ΔPTS, what is the value of x?
asked 217k views
2 votes
Given that ΔPQR is similar to ΔPTS, what is the value of x?

Given that ΔPQR is similar to ΔPTS, what is the value of x?-example-1
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User Waffleman
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2 Answers

4 votes
If ST and QR are parallel, then they are congruent through alternate interior angles. The triangles are also similar (I solved it. I'll show a picture) so since they are similar that means all the angles are congruent
answered
User Shirish Singh
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8.5k points
2 votes
If the angles are similar, then the lengths must be in the same ratio. SP is 3/4ths of PR, so X should be 3/4ths of QP, so X is 16 inches.
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User Rikalous
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