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ΔABC and ΔDEF are similar triangles, and their areas are 81 cm2 and 144 cm2, respectively. If EF = 20 cm, then what is the value of BC? 

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 11 Jul, 2024 Shift 3)
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  1. 15 cm
  2. 9 cm
  3. 12 cm
  4. 13 cm

Answer (Detailed Solution Below)

Option 1 : 15 cm
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Detailed Solution

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Given:

ΔABC and ΔDEF are similar triangles

Area of ΔABC = 81 cm2

Area of ΔDEF = 144 cm2

EF = 20 cm

Formula used:

For similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding sides.

 = 

Calculation:

 = 

⇒  = 

⇒  = 

⇒ BC = 

⇒ BC = 15

∴ The correct answer is option (1).

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Last updated on Jun 26, 2025

-> The Staff selection commission has released the SSC CHSL Notification 2025 on its official website on 23rd June 2025.

-> The SSC CHSL Apply Online 2025 has been started and candidates can apply online on or before 18th July.

-> The SSC has released the SSC CHSL exam calendar for various exams including CHSL 2025 Recruitment. As per the calendar, SSC CHSL Application process will be active from 23rd June 2025 to 18th July 2025. 

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-> The UGC NET Exam Analysis 2025 for the exam conducted on June 25 is out.

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