One side of a equilateral triangle is 24...

One side of a equilateral triangle is 24 cm. The mid-points of its sides are joined to form another triangle whose mid-points, in turn, are joined to form still another triangle. This process continues, indefinitely. Find the sum of the perimeters of all the triangles.

144 cm

169 cm

400 cm

625 cm

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise LEVEL-2|34 Videos
SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos
SEQUENCE AND SERIES
VMC MODULES ENGLISH|Exercise JEE MAIN & Advance ( ARCHIVE)|46 Videos
REVISION TEST-2 JEE
VMC MODULES ENGLISH|Exercise MATHEMATICS|25 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos

Similar Questions

Explore conceptually related problems

One side of an equilateral triangle is 18 cm. The mid-point of its sides are joined to form another triangle whose mid-points, in turn, are joined to form still another triangle. The process is continued indefinitely. Find the sum of the (i) perimeters of all the triangles. (ii) areas of all triangles.

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle this process continues indefinitely. The sum of the perimeters of all the triangles is

The side of an equilateral triangle is 3.5 cm. Find its perimeter

The side of a given square is equal to a. The mid-points of its sides are joined to form a new square. Again, the mid-points of the sides of this new square are joined to form another square. This process is continued indefinitely. Find the sum of the areas of the squares and the sum of the perimeters of the squares.

If the side of an equilateral triangle is 6 cm, then its perimeter is

Find the area of an equilateral triangle whose side is a cm.

Find the perimeter of an equilateral triangle of side 13 cm.

Find the perimeter of an equilateral triangle with side 9cm.

Find the area of an equilateral triangle, whose one side is a cm.

Construct an equilateral triangle whose side is 5 cm.

VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1

If ai > 0 for i=1,2,…., n and a1 a2 … a(n=1) , then minimum value o...
Text Solution
|
Suppose a,b, c are in A.P. and a^(2) , b^(2),c^(2) are in G.P. if a lt...
Text Solution
|
One side of a equilateral triangle is 24 cm. The mid-points of its sid...
Text Solution
|
The sum to infinity of the series 1+2(1-(1)/(n))+3(1-(1)/(n))^(2)+ ....
Text Solution
|
Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...
Text Solution
|
The sum of the series (1 2/3)^(2) + (2 1/3)^(2) + 3^2 + (3 2/3)^(2) ...
Text Solution
|
The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2, h1, ...
Text Solution
|
If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab...
Text Solution
|
The number a, b and c are between 2 and 18, such that (i) their su...
Text Solution
|
three number a,b,c are in GP such that : (i) a+b+c=70 (ii) 4a,5b,4c a...
Text Solution
|
If tr denotes the r^(th) term of an G.P. and t1 t5 t10 t16 t21 t25 ...
Text Solution
|
The summation of series sum(r=1->99) 1/(sqrt(r+1)+sqrtr) is:
Text Solution
|
If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a...
Text Solution
|
If sum of first n terms of a series is n/(n+1) find 1/(T8)where T8 is ...
Text Solution
|
if (1+3+5+7+....(2p-1))+(1+3+5+...+(2q-1)) =1+3+5+...+(2r -1), then le...
Text Solution
|
If S1 ,S2 and S3 denote the sum of first n1,n2 and n3 terms respec...
Text Solution
|
If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a ...
Text Solution
|
Let a1,a2 ,a3 …..be in A.P. and ap, aq , ar be in G.P. Then aq : ap ...
Text Solution
|
If underset(r=1)overset(n)Sigma r(r+1)(2r +3)=an^4+bn^3+cn^2+dn +e th...
Text Solution
|
If cos(x-y), cosx and cos(x+y) are in H.P., then |cos x sec (y)/(2)| e...
Text Solution
|