In a triangle ABC, AX, BY and CZ are alt

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

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?

Options:

8 cm

5 cm

6 cm

7 cm

Correct Answer:

7 cm

Explanation:

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