5 Views

Question : The inradius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in sq. cm) is:

Option 1: 150

Option 2: 50

Option 3: 300

Option 4: 56


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 150


Solution : The area of a triangle by using the formula involving the inradius ($r$) and the semi-perimeter ($s$) of the triangle.
$\text{Area} = rs$
Given that the inradius is 6 cm, the sum of the lengths of its sides is 50 cm, and the semi-perimeter is 25 cm.
$\text{Area} = r \times s = 6 \, \text{cm} \times 25 \, \text{cm} = 150 \, \text{sq. cm}$
Hence, the correct answer is 150.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

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