Question

Find the value of x in this figure

Answer 1

x^2 = 12^2 + 5^2
x^2 = 144 + 25
x^2 = 169
x = 13

hope it helps

Answer 2

x = 13 units .

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 .