Answer :

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


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;



For area to be maximum should be 0.

t = 3a ….(1)

a + h = t = 3a

θ =60°

Hence proved.

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