Question : The perimeters of two similar triangles $\triangle$ABC and $\triangle$PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is:
Option 1: 15 cm
Option 2: 12 cm
Option 3: 14 cm
Option 4: 26 cm
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 15 cm
Solution :
$\triangle$ABC ~ $\triangle$PQR
Perimeter($\triangle$ABC) = 36 cm
Perimeter($\triangle$PQR) = 24 cm
PQ = 10 cm
$\frac{AB}{PQ}$ = $\frac{\text{Perimeter($\triangle$ABC)}}{\text{Perimeter($\triangle$PQR)}}$
⇒ $\frac{AB}{10}$ = $\frac{36}{24}$
⇒ AB = $\frac{360}{24}$ = 15 cm
Hence, the correct answer is 15 cm.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
