In a triangle ABC, AX, BY and CZ are altitudes and intersecting at O. If AO = 6 cm, AX = 8 cm and BO = 4 cm, then what is the value (in cm) of BY?
Answer & explanation
Correct answer: option 4
Concept : AO × OX = BO × OY = CO × OZ
ATQ,
AO × OX = BO × OY
⇒ 6 × 2 = 4 × OY
⇒ OY = 3
⇒ BY = BO + OY = 4 + 3 = 7 cm