Question : 360 cm2 and 250 cm2 are the areas of the two similar triangles. If the length of one of the sides of the first triangle is 8 cm, then the length of the corresponding side of the second triangle is:
Option 1: $6\frac{1}{5}\;\operatorname{ cm}$
Option 2: $6\frac{1}{3}\;\operatorname{ cm}$
Option 3: $6\frac{2}{3}\;\operatorname{ cm}$
Option 4: $6\;\operatorname{ cm}$
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: $6\frac{2}{3}\;\operatorname{ cm}$
Solution :
Thales theorem states that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Let the length of the corresponding side of the second triangle as $x$.
$⇒\mathrm{\frac{Area_1}{Area_2} = \left(\frac{Side_1}{Side_2}\right)^2}$
$⇒\frac{360}{250} = \left(\frac{8}{x}\right)^2$
$⇒\frac{6}{5} = \left(\frac{8}{x}\right)$
$⇒x=\frac{20}{3}$
$⇒x=6\frac{2}{3}\;\operatorname{ cm}$
Hence, the correct answer is $6\frac{2}{3}\;\operatorname{ cm}$.
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 “”.
