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S and T are points on …

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S and T are points on sides PR and QR of triangle PQR such that angle P=angle RTS .Show that triangle RPQ is similar triangle RTS

    • Posted by Saanchi Saha 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    According to questions it is given that S and T are points on sides PR and QR of  {tex}\triangle PQR{/tex} such that {tex}\angle P = \angle R T S{/tex}

    To Prove {tex}\triangle R P Q \sim \triangle R T S{/tex}
    Proof In {tex}\triangle RPQ{/tex} and {tex}\triangle RTS{/tex}, we have
    {tex}\angle P = \angle R T S{/tex} (given)
    {tex}\angle R = \angle R{/tex} (common)
    {tex}\therefore \quad \triangle R P Q \sim \triangle R T S{/tex} [by AA-similarity].

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