x = 24
Explanation:
First, find the length RT. Note that we can use the definition of sine 60:
sin 60° = (12√3)/RT
Solving for RT,
RT = (12√3)/sin60° , sin 60 = (√3)/2
= 24
Since ∆QRT is a 45°-90°-45° triangle, that means that
x = RT = 24
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