If the sum of the

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.