Solve this trigonometry?

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Answer 1 · 2018-01-06T14:16:45

#0.64 cm#

Let the middle point be #O#

Apply Pythagoras theorem in one of the triangles.

In #Delta AOM#,
#AO = 6cm#
#OM = 2cm#
#AM = BM =# hypotenuse #= x# (say)

#:. x^2 = 36 + 4 = 40#

#x = 2sqrt10#
So, #AM + BM = 4sqrt10 ~~ 12.64cm#

#12.64 cm# is the length of stretched string.

#:.# extended length = stretched length #-# unstretched length

#=> 12.64 - 12 = 0.64cm#

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