Question

What is value of x?

Answer 1

`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`