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ব্যাংক নিয়োগ
Combined Bank
Combined 9 Banks & 2 Financial Institution Post: Senior Officer(05-12-2025)
Combined 9 Banks & 2 Financial Institution Post: Senior Officer(05-12-2025)
Two similar triangles have areas in the ratio 4 : 9. If the perimeter of the smaller triangle is 20, what is the perimeter of the larger triangle?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (30)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Given that,
Two similar triangles Areas ratio = 4 : 9
Perimeter of smaller triangle = 20
For similar triangles, the ratio of areas = square of the ratio of corresponding sides.
(Area of larger/Area of smaller) =(side of larger/side of smaller)2
⇒ (9/4) = (k/1)2 ;
[Let the ratio of sides = k : 1 (larger : smaller)]
⇒ k2 = 9/4
∴ k = 3/2
∴ Perimeter of larger : Perimeter of smaller = 3 : 2
∴ Perimeter of larger = 20 × (3/2) = 30 ;
[Perimeter of smaller = 20]
So the perimeter of the larger triangle is 30.
