Published by:
CGP EDU Academic Team
Published on: August 14, 2026
One side of an equilateral triangle is 24 cm. The mid − points of its sides are joined to form another triangle whose mid − points are in turn joined to form still another triangle. This process continues indefinitely. Then the sum of the perimeters of all the triangles is
Text Solution
Verified by ExpertsThe correct answer is:
A
= 3[24 + 12 + 6 + ......... ∞ ] = 3 
= 144
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The third term of a G.P. is 4, the product of the first five terms is
If a, b , c, d and p are distinct real numbers such that (a 2 +b 2 +c 2 )p 2 – 2(ab +bc +cd ) p + (…
If p, q, r are in A.P. , then pth, qth and rth terms of any G.P. are in
If = = , then a, b, c, d are in –
λ2α , β are the roots of the equation x 2 – 3x + a = 0 and γ , δ are the roots of the equation x 2 …
If one geometric mean G and two arithmetic means p and q be inserted between two number, then G 2 i…