Question

BA4X62
The first picture is got by removing the small triangle forned 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.
D How many red triangles are there in each picture?
Taking the area of the original uncut 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?
iv)
Write the algebraic expressions for these three sequences
obtained by continuing this process.​

Answer 1

Answer:

BA4X62

The first picture is got by removing the small triangle forned 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.

D How many red triangles are there in each picture?

Taking the area of the original uncut 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?

iv)

Write the algebraic expressions for these three sequences

obtained by continuing