Prove triangle PQS is similar to triangle QRS

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Triangle PQS is similar to triangle QRS because they share angle Q and have two pairs of complementary angles: angles QPS and QRS, as well as angles QQS and PQS. The similarity of the triangles can be established by noting that they contain the same three angles. Consequently, the relationship QS^2 = PS * SR can be derived from the properties of similar triangles. This conclusion relies on the fundamental principle that similar triangles maintain proportional relationships between their corresponding sides. Understanding these angle relationships is crucial for proving the similarity and subsequent equations.
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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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