make triangle by joining the midpoint of the triangle 12cm on all three side can we get triangles of side them if. continue like this why?
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Answered by
9
Okay So,here's your Answer Mate:
Area of equilateral triangle of side a is 34a2
the side of the equilateral triangle formed by joining the midpoints of original triangle is a/2
the corresponding area is 3/4(2a)2
and for the next triangle inside the area is 3/4(4a)2
so the sum of all these areas is a infinite geometric series with first term as 3/4a2 and with common ratio 1\4
sum of infinite geometric series is 1−commonratiofirstterm
the answer comes out to be 108/3
Hope it's helpful..!!
#BeBrainly :)
Answered by
1
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane....
Hope it's helpful....
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