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Home / Doubts and Solutions/JEE/Mathematics

An equilateral triangle with side 3 cm now if a man runs around a triangle in such a way that he is always at a distance of 1 cm from the sides of a triangle then how much distance will he travel

Asked by pearlrupali66 21st July 2018, 9:12 AM
Answered by Expert
Answer:
The man will form a bigger triangle with the altitude greater than the given triangle by 6(3+3)
begin mathsize 16px style area space of space given space increment equals fraction numerator square root of 3 over denominator 4 end fraction open parentheses 3 close parentheses squared also space 1 half cross times 3 cross times altitude space equals area 1 half cross times 3 cross times altitude space equals fraction numerator square root of 3 over denominator 4 end fraction open parentheses 3 close parentheses squared find space the space altitude space let space it space be space straight x the space altitude space of space new space triangle space will space be space straight x plus 6 now space in space new space triangle sin space 60 space equals space fraction numerator straight x plus 6 over denominator half space of space side end fraction...... find space the space side end style
Answered by Expert 25th July 2018, 10:13 AM
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