Question

4. ABC is an isosceles triangle right angled at C. Prove that AB2=2AC2.
5. ABC is an isosceles triangle with AC = BC. IfAB2= 2 AC, prove that ABC is a right
triangle​

Answer 1

Step-by-step explanation:

In △ABC,

By Pythagoras Theorem,

(AB)

2

=(AC)

2

+(BC)

2

.....(1)

Since, △ABC is an isosceles triangle,

∴ AC=BC....(2)

∴ From (1) and (2),

(AB)

2

=2(AC)

2

[henceproved]

solution