Advertisements
Advertisements
Question
If ΔABC ~ ΔDEF and ar(ΔABC) : ar(ΔDEF) = 25 : 4, then BC : EF is ______.
Options
3 : 2
2 : 3
5 : 2
2 : 5
MCQ
Fill in the Blanks
Advertisements
Solution
If ΔABC ~ ΔDEF and ar(ΔABC) : ar(ΔDEF) = 25 : 4, then BC : EF is 5 : 2.
Explanation:
Since △ABC ∼ △DEF, the ratio of their areas is equal to the square of the ratio of their corresponding sides:
`"ar(ΔABC)"/"ar(ΔDEF)" = ((BC)/(EF))^2`
Given,
`"ar(ΔABC)"/"ar(ΔDEF)" = 25/4`
So,
`((BC)/(EF))^2 = 25/4`
`(BC)/(EF) = sqrt(25/4)`
`(BC)/(EF) = 5/2`
∴ BC : EF = 5 : 2
shaalaa.com
Is there an error in this question or solution?
