This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
PR \times PQ$."
To prove , we need to establish similarity between two triangles. The most common way to derive such a relationship is from the ratios of corresponding sides in similar triangles.
Let's analyze the information provided in the diagram and the question.
The question states: "In the diagram below and . IF . Prove that ."
However, the similarity statement "" (meaning ) is inconsistent with the diagram and the required proof. If , then , which would imply $
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To prove PS^2 = PR × PQ, we need to establish similarity between two triangles. The most common way to derive such a relationship is from the ratios of corresponding sides in similar triangles.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.