Which of the following represents the value of the missing side?
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Answer:
The value of the missing side is [tex]x=2\ units[/tex]
Step-by-step explanation:
In this problem i assume that the length side x is tangent to the circle
so
the length side x is perpendicular to the radius
Applying the Pythagoras Theorem in the right triangle
we have that
[tex](1.5+1)^{2}=1.5^{2}+x^{2}[/tex]
Solve for x
[tex](2.5)^{2}=1.5^{2}+x^{2}[/tex]
[tex]x^{2}=2.5^{2}-1.5^{2}[/tex]
[tex]x^{2}=4[/tex]
[tex]x=2\ units[/tex]