ABC is an iscocles right angled triangle at C find the (AB)^2
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2
Answer:
draw the triangle that vin right angled into 90 degree
Answered by
6
⭐Given data :
Δ ABC is a right Δ and also isosceles triangle.,
⭐ To prove:
AB^2 = 2 AC^2
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 ;
AB^2 = AC^2 + BC^2
as AC = BC
therefore :-
AB^2 = 2 AC^2 = 2 BC^2
thus,
AB^2 = 2 AC^2
hence you answer is 2 *AC^2 .
thank you
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