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?

- 4√2 cm
- 4 cm
- 2 cm
- 2√2 cm

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.**

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