Q. 64.4( 26 Votes )

ABC is an isoscel

Answer :

Since the triangle is right angled at C


the side AB is hypotenuse.


Let the base of the triangle be AC and the altitude be BC.


Applying the Pythagorean theorem


HYP2 = Base2 + Alt2


AB2 = AC2 + BC2


Since the triangle is isosceles triangle two of the sides shall be equal


AC = BC


Thus AB2 = AC2 + BC2


AB2 = 2AC2


Hence, proved


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