Prove triangle PQS is similar to triangle QRS

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Homework Help Overview

The discussion revolves around proving the similarity of triangles PQS and QRS, with a specific focus on demonstrating that QS² equals PS·SR. Participants reference a diagram to aid their reasoning.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationships between angles in the triangles, noting that angles QPS and QRS are complementary. There is a question regarding how to formally prove the similarity of the triangles based on their angles.

Discussion Status

Some guidance has been offered regarding the relationship between angles, and a participant has suggested that triangles are similar if they contain the same three angles. However, there is still uncertainty about the proof process and how to apply this information effectively.

Contextual Notes

The discussion includes references to a diagram that is not visible in the text, which may contain critical information for understanding the relationships between the triangles.

aricho
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I'm having trouble doing this...

prove triangle PQS is similar to triangle QRS
Hence prove QS^2=PS.SR

the diagram is attached

cheers
 

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Look at the angles. angles QPS and QRS are complementary. So are QQS and PQS.
 
yer, but how can u prove that they triangles are similar?
 
If two triangles contain the same three angles, then they are similar.
 

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