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P Q R is a triangle is which P Q=P R\ a ...

`P Q R` is a triangle is which `P Q=P R\ a n d\ S` is any point on the side `P Q` . Through `S ,` a line is drawn parallel to `Q R` and intersecting `P R\ ` at `Tdot` Prove that `P S=P T`
`In /_\PQR, we have PQ=PR`

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To prove that \( PS = PT \) in triangle \( PQR \) where \( PQ = PR \) and \( ST \) is drawn parallel to \( QR \), we can follow these steps: ### Step 1: Identify Given Information We are given that \( PQ = PR \) and that \( S \) is any point on side \( PQ \). A line \( ST \) is drawn through \( S \) parallel to \( QR \), intersecting \( PR \) at point \( T \). ### Step 2: Use Properties of Isosceles Triangle Since \( PQ = PR \), triangle \( PQR \) is an isosceles triangle. Therefore, the angles opposite to the equal sides are equal: \[ ...
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RD SHARMA-CONGRUENT TRIANGLE -All Questions
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