Question

ABC is an isosceles triangle with ac is equal to BC if a b square is equal to 2 AC prove that ABC is right angled triangle​

Answer 1

$\huge\bf\mathscr\pink{Your\: Answer}$

__________________

_______

step-by-step explanation:

Given,

Δ ABC is an isosceles triangle  with AC = BC , and AB² = 2AC²

To prove : ∠C = 90°

Proof :-

AB² = 2AC²

       

= AC² + AC²

       

= AC² + BC²                                  

[ ∵ AC = BC ]

therefore,

AB² = AC² + BC²     ----> (1)

From (1) , 

∠C = 90°

[ by converse of Pythagoras theorem ]

Hence,

proved✍️✍️

_______________

_________

_____