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What is value of x?

1 Answer

Mar 28, 2017

#x=4#

Explanation:

Given that #DeltaRST# is a right triangle
#sin60=(RS)/(RT)#
#=> RT=(RS)/sin60=(2sqrt3)/((sqrt3)/2)#
#=> RT =2sqrt3*(2/sqrt3)=4#

#angleRQT=180-90-45=45^@#
#=> angleRQT=angleRTQ=45^@#
#=> DeltaRQT# is an isosceles right triangle,
#=> RQ=RT#
#=> x=RT=4#

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