Example 3 - PS/SQ = PT/TR and PST = PRQ. Prove that - Examples

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
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Example 3 In figure , ๐‘ƒ๐‘†/๐‘†๐‘„=๐‘ƒ๐‘‡/๐‘‡๐‘… and โˆ  PST = โˆ  PRQ. Prove that PQR is an isosceles triangle. Given: ๐‘ƒ๐‘†/๐‘†๐‘„=๐‘ƒ๐‘‡/๐‘‡๐‘… โˆ  PST = โˆ  PRQ To prove: PQR is an isosceles triangles Proof: Given ๐‘ƒ๐‘†/๐‘†๐‘„=๐‘ƒ๐‘‡/๐‘‡๐‘… โˆด ST II QR Since ST II QR , โ€– โˆ  PST = โˆ  PQR Also, given โˆ  PST = โˆ  PRQ From (1) and (2) โˆ  PQR = โˆ  PRQ PR = PQ Therefore , two sides of ฮ” PQR is equal PQR is an isosceles triangle Hence proved

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