Question

ABC is a right isosceles triangle in which ab is equal to AC then prove that BC square is equal to a b square + AC square

Answer 1

Answer:

Hey!

So,

Given data :

Δ ABC is a right Δ and also isosceles triangle.,  

To prove:

Step 1:

Proof:

Here,  

Hypotenuse = AB

Also, as it is given that, ΔABC is isosceles,  

Step 2:

AC = BC   [equal sides of isosceles Δ]  

Using Pythagoras theorem,  

Step 3:

In Δ ABC, we have ;

[AC = BC]  

\mathrm{AB}^{2}=2 \mathrm{AC}^{2}

Hence proved

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peace!