The perimeter of ΔABC is 27 cm and

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The perimeter of ΔABC is 27 cm and its side, BC = 12 cm. AD is the bisector of ∠BAC, while I is the incentre. AI : ID is equal to.

Options:

5 : 3

2 : 3

2 : 1

1 : 1

Correct Answer:

2 : 1

Explanation:

AB + BC + CA = 27 cm

We know that,

In the above triangle, AI is circumradius and ID is inradius and their ratio is always equal to 2 : 1

AI : ID = 2 : 1