1 View

Question : The areas of two similar triangles ABC and PQR are 64 cm2 and 144 cm2, respectively. If the greatest side of the smaller ΔABC is 24 cm, then what is the greatest side of the bigger ΔPQR?

Option 1: 32 cm

Option 2: 24 cm

Option 3: 42 cm

Option 4: 36 cm


Team Careers360 7th Jan, 2024
Answer (1)
Team Careers360 10th Jan, 2024

Correct Answer: 36 cm


Solution : Given: The areas of two similar triangles ABC and PQR are 64 cm 2 and 144 cm 2 , respectively. The greatest side of the smaller ΔABC is 24 cm.
Let the greatest side of the bigger ΔPQR be $x$.
We know that, The ratio of the area of similar triangles = (The ratio of corresponding sides) 2
According to the question,
⇒ $\frac{64}{144}=(\frac{24}{x})^2$
⇒ $x^2=\frac{144×24×24}{64}$
$\therefore x=36$ cm
Hence, the correct answer is 36 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