Mathematics
In the given triangle, the length of AB is : 1. 4√2 2. 4 m 3. 8 m 4. 6 m
Answer
Let ∠BAC be x.
Using the angle sum property of a triangle, which states that the sum of all angles in a triangle is 180°:
⇒ ∠BAC + ∠BCA + ∠ABC = 180°
⇒ x + 45° + 90° = 180°
⇒ x + 135° = 180°
⇒ x = 180° - 135°
⇒ x = 45°
Thus, ∠BAC = ∠BCA = 45°. Therefore, Δ ABC is an isosceles triangle, meaning AB = BC = 8 m.
Hence, option 3 is the correct option.
