The value of x is 3[tex]\sqrt{2}[/tex] units which is D.
What is a right-angled triangle?
A right angled triangle is a triangle with one of its angle 90°
Analysis:
Since the perpendicular of the bigger triangle bisect the hypotenuse into two equal parts it also bisect the right angled triangle into 45°
so that sin 45 = 3/x
x = 3/sin 45 = 3/1/[tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] units
In conclusion, the value of x is 3[tex]\sqrt{2}[/tex] units which is D.
Learn more about right-angled triangle: brainly.com/question/64787
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