∠ABC=90∘
∠BAC=∠ACB=45∘AC=2√2
To find,
The length of AB
Solution,
The length of AB in △ABC is 2 units.
We can simply find the length of AB in △ABC using
Pythagoras Theorem.
In △ABC
∠BAC=∠ACB (given)
BC=AB (sides opposite to equal angles are equal)
Using Pythagoras theorem in △ABC
(AC)2=(AB)2+(BC)2(2√2)2=(AB)2+(AB)2(AB=BC)8=2(AB)24=(AB)22=AB
Hence, the length of the side AB in △ABC is 2 units.