One side of an equilateral triangle is 18cm. the mid points of its sides are joined to form another triangle whose mid points,in turn , are joined to form another triangle . the process is continued indefinitely . find the sum of the (1) perimeters of all the triangles (2)area of all the triangles

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it is impossible because of infinite triangles

Answers

2016-01-31T10:24:15+05:30
By joining the sides of the equilateral triangle we get another equilateral triangle of side 9 cm. By doing this again and again the sides of the triangle will form a GP with a=18 and r=1/2

So the perimeter of all triangles will be= 3( the sum of GP)
=3(a/1-r)
=3(18*2)
=108 cm
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i couldn't help you with the area. I hope the perimeter helps.