5 Views

Question : The sides of a triangle are 20 cm, 48 cm, and 52 cm. What is the area of the triangle?

Option 1: 320 cm2

Option 2: 480 cm2

Option 3: 560 cm2

Option 4: 245 cm2


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 480 cm 2


Solution : The sides of a triangle are 20 cm, 48 cm, and 52 cm.
All three sides are different. So, it is a Scalene triangle.
Area of a scalene triangle = $\sqrt{s(s-a)(s-b)(s-c)}$, where $s = \frac{a+b+c}{2}$
$s=\frac{20+48+52}{2}=\frac{120}{2}=60$
⇒ Area of the triangle = $\sqrt{60(60-20)(60-48)(60-52})=\sqrt{60×40×12×8}=480\ \text{cm}^2$
Hence, the correct answer is 480 cm 2 .

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