Respuesta :

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]

Answer:

x=2

Step-by-step explanation: