Can anyone please help me answer the question in the picture?

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1 Answer
Apr 29, 2018

Apply Pythagoras rule .

#"perpendicular"^2+"base"^2="hypotenuse"^2#

Explanation:

  • #"perpendicular"^2+"base"^2="hypotenuse"^2#

Here,

  • #"perpendicular"=b#
  • #"base"=?(x)#
  • #"hypotenuse"=2b#

Hence,

#b^2+x^2=(2b)^2#

#=>b^2+x^2=4b^2#

#=>x^2=3b^2#

#=>x=sqrt3 cdot b#

The length of base is #color(red)(sqrt3 cdot b# unit.

Hope it helps...

Thank you...

:-)