Answer :

Let there be a right-angled triangle ABC with ACB=θ

ABC=90°.



According to the Figure:


AC = h


AB = b


BC = a


Now Area of the triangle


Let h + a = t (as given in the quest)


According to Pythagoras theorem;





Area


=


For area to be maximum should be 0.




t = 3a ….(1)


a + h = t = 3a




θ =60°


Hence proved.


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