ABC is an isosceles triangle such that AB = BC = 8 cm

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?

1. 4√2 cm
2. 4 cm
3. 2 cm
4. 2√2 cm

Answer

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.