The sides of a triangle are in geometric...

The sides of a triangle are in geometric progression with common ratio `r lt 1.` If the triangle is a right-angled triangle, then r is given by

A

`( sqrt5 + 1)/( 2)`

B

`(sqrt5 -1 )/( 2)`

C

`( sqrt3 +1)/(2)`

D

`( sqrt3 -1)/(2)`

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