Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

In triangle ABC, AB = 20 cm, BC = 16 cm and AC = 12 cm and the radius of circle inscribed in it is 4 cm. Find the area of triangle ABC.

Options:

48 cm2

72 cm2

96 cm2

120 cm2

Correct Answer:

96 cm2

Explanation:

We have a concept =

Area of triangle = Semi perimeter of triangle × radius of incircle

We have given that,

AB = 20 cm

BC = 16 cm

AC = 12 cm

Radius of incircle = 4 cm

Area of triangle = \(\frac{20 + 16 + 12}{2}\) × 4 = 96 cm2