Question

Solve this trigonometry?

Answer 1

`0.64 cm`

Explanation:

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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