# The rope

A 68 centimetre long rope is used to make a rhombus on the ground. The distance between a pair of opposite side corners is 16 centimetres what is the distance between the other two corners?

Result

x =  30 cm

#### Solution:

$o = 68 \ \\ a = o/4 = 68/4 = 17 \ \\ u = 16 \ \\ a^2 = (\dfrac{ u }{ 2 } )^2+ (\dfrac{ x }{ 2 } )^2 \ \\ x = 2 \cdot \ \sqrt{ a^2- (\dfrac{ u }{ 2 } )^2 } = 2 \cdot \ \sqrt{ 17^2- (\dfrac{ 16 }{ 2 } )^2 } = 30 = 30 \ \text{ cm }$

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