Question

Justify, if ∆APQ ~ ∆ABC​

Answer 1

$\bf\green{QuestioN:-}$

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!!♥