Math, asked by tejpalchouhan0212, 2 months ago

Justify, if ∆APQ ~ ∆ABC​

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Answered by XxLuckyGirIxX
20

\bf\green{QuestioN:-}

Justify, if ∆APQ ~ ∆ABC

\bf\pink{AnsweR:-}

\Huge{\sf\underline{Given:-}}

               

In ∆APQ and ∆ABC,

               

\bf{\angle\:APQ=\angle\:ABC=60}

\bf{\angle\:PAQ=\angle\:BAC-----[Common]}

           

\Huge{\sf\underline{To\:Prove:-}}

             

∆APQ ~ ∆ABC

           

\Huge{\sf\underline{Solution:-}}

               

In Δ APQ and in Δ ABC,

   

∠ APQ = ∠ ABC_______ [60°]

∠ PAQ = ∠ BAC ________ [ Common]

∴ We can say that, Δ APQ ~ ∆ ABC.

             

Becoz, when two angles are equal, automatically the third angle will be equal. When angles are equal, sides will also be similar.

         

By, AA Similarity of triangles!

Hence Proved!!

         

         

               

             

             

           

Happy Learning Dear!!♥

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