4 Views

Question : The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm2, then its perimeter is:

Option 1: 2 cm

Option 2: 3 cm

Option 3: 6 cm

Option 4: 9 cm


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: 6 cm


Solution :
Since the radius of the incircle is 2 cm.
$\therefore$ OD = OE = OF = 2 cm
$\therefore$ Area of $\triangle$ABC = Area of $\triangle$AOB + Area of $\triangle$BOC + Area of $\triangle$AOC
⇒ $6 = \frac{1}{2} \times AB \times 2+\frac{1}{2} \times BC \times 2+\frac{1}{2} \times CA \times 2$
⇒ $AB + BC + CA = 6$ cm
$\therefore$ The perimeter of the triangle = 6 cm
Hence, the correct answer is 6 cm.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books