answer 2.5 i have solved the problem three times in my geometry class and got the same answer all three times
Considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.
Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of right angle triangle.
The image of the given problem is attached below. In this diagram, the radius of the circle is 1.5 meter long.
The triangle ABC shown in the graph is right angle triangle as, the tangent of the circle is perpendicular with the radius of it at the point of contact.
Thus, by the Pythagoras theorem,
[tex](AB)^2+(BC)^2=(AC)^2\\(1.5)^2+(x)^2=(1.5+1)^2\\(x)^2=(2.5)^2-(1.5)^2\\x=\sqrt{6.25-2.25}\\x=\sqrt{4}\\x=2\rm\; units[/tex]
Thus, considering the diagram below the value which represent the missing side, round to the nearest below, tenth, is 2 units.
Learn more about the Pythagoras theorem here;
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