6 Views

Question : The perimeters of two similar triangles XYZ and PQR are respectively 62 cm and 42 cm. If PQ = 21 cm, find XY.

Option 1: 27 cm

Option 2: 28 cm

Option 3: 29 cm

Option 4: 31 cm


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 31 cm


Solution :
Since the ratio of the corresponding sides of similar triangles is the same as the ratio of their perimeters.
$\therefore \triangle$ XYZ ~ $\triangle$ PQR
$⇒\frac{\text{XY}}{\text{PQ}} = \frac{\text{YZ}}{\text{QR}} = \frac{\text{XZ}}{\text{PR}} = \frac{62}{42}$
$⇒\frac{\text{XY}}{\text{PQ}} = \frac{62}{42}$
$⇒\frac{\text{XY}}{21} = \frac{62}{42}$
$⇒\text{XY} = \frac{62 \times 21}{42}$
$⇒\text{XY} = 31$ cm
Hence, the correct answer is 31 cm.

How to crack SSC CHSL

Candidates can download this e-book to give a boost to thier preparation.

Download Now

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