Answer:
x = 13 units .
Step-by-step explanation:
Given : A circle with tangent PQ , radius = 5 units , OQ = x .
To find : Find the value of x .
Solution : We have given circle with tangent PQ = 12, radius = 5 units , OQ = x .
The tangent (PQ) to a circle is perpendicular to the radius at the point of tangency ( P).
So, it formed the right triangle PQO.
Now use the Pythagorean Theorem :
(OQ)² = ( PQ)² + (OP)².
Plug the values PQ = 12, OP =5 units , OQ = x .
(x)² = ( 12)² + (5)².
(x)² = 144 + 25 .
(x)² = 169
By taking the square root .
x = 13 .
Therefore, x = 13 units .
