ABC is an isosceles triangle with ∠ABC = 90° and AB = BC. If AC = 12 cm, then the length of BC (in cm) is equal to:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. .
AB2 + BC2 = AC2
⇒ BC2 + BC2 = 122
⇒ 2BC2 = 144
⇒ BC2 = 144/2 = 72
⇒ BC = √72 = 6√2
Therefore, the length of BC is 6√2 cm.