S and T are points on sides PR and QR of triangle PQR such that angleP=angleRTS Show that triangle RPQ~triangle RTS
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Solution:
Given: angleP = angleRTS
To Prove:∆RPQ ~ ∆RTS
Proof: In ∆RPQ and ∆RTS
angle R = angle R. (common)
angle P = angle RTS (Given)
By AA similarity,
∆RPQ ~ ∆RTS
Hence,proved.
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