Points h and f lie on circle c what is the length of line segment gh?

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

......(ΔEGC is a right triangle)

Now, Let GH = x

On rearranging,

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

The answer to this question is 6 units, just took the exam on edg 2020.

Step-by-step explanation:

step-by-step explanation: