Question

3)
Tangent secant segments theorem
If tangent ET touches
в
the circle at point T
and secant EAB
intersects the circle in
points A and B.
then -
EA * EB = ET2
****​

Answer 1

Step-by-step explanation:

In triangle ETA and triangle EBT

• Angle AET = Angle TEB (Common side)
• Angle ETA = Angle EBT Tangent secant theorem

triangle ETA ~ triangle EBT (AA Test)

ET/EB = EA/ET

EA×EB = ET×ET

EA×EB=ET2