ABC is an isosceles triangle such that AB = BC = 8 cm and ∠ABC = 90°. What is the length of the perpendicular drawn from B on AC?
The triangle is isosceles right triangle. Length of perpendicular from vertex to the hypotenuse = x/√2.
Here x = 8 cm
Length of perpendicular = 8/√2
= 4√2 (multiply denominator & numerator by √2)
The correct option is A.