Question

In triangle ANGLE =90 degree angle BAC = angle= ACB = 45 degree angle AC = 2 root 2 then find AB ​

Answer 1

Answer:

AB = 2cm

Step-by-step explanation:

I hope my ans help you

Answer 2

Given,

∠ABC = 90°

∠BAC = ∠ACB = 45°

AC = 2√2

To find,

The length of AB

Solution,

The length of AB in ΔABC is 2 units.

We can simply find the length of AB in ΔABC using Pythagoras Theorem.

In ΔABC

∠BAC = ∠ACB (given)

BC = AB (sides opposite to equal angles are equal)

Using Pythagoras theorem in ΔABC

(AC)² = (AB)² + (BC)²

(2√2)² = (AB)² + (AB)²   (AB = BC)

        8 = 2 (AB)²

         4 = (AB)²

          2 = AB

Hence, the length of the side AB in ΔABC is 2 units.