Question

The first picture is got by removing the small triangle formed by joining
the midpoints of an equilateral triangle. The second picture is got by
removing such a middle triangle from each of the red triangles of the
first picture. The third picture shows the same thing done on the second
0 How many red triangles are there in each picture?
Taking the area of the original unout triangle as 1, compute the
area of a small triangle in each picture,
* What is the total area of all the red triangles in each picture?
Write the algebraic expressions for these three sequences
obtained by continuing this process,​

Answer 1

Answer:

i am not understand this

sorry

Answer 2

Answer:

Area of equilateral triangle of side a is

3

4

a

2

the side of the equilateral triangle formed by joining the midpoints of original triangle is a/2

the corresponding area is

3

4

(

2

a

)

2

and for the next triangle inside the area is

3

4

(

4

a

)

2

so the sum of all these areas is a infinite geometric series with first term as

3

4

a

2

and with common ratio 1\4

sum of infinite geometric series is

1−commonratio

firstterm

the answer comes out to be 108

3

Step-by-step explanation:

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