Question

Plz give me a proof of Converse of tangent secant theorem.​

Answer 1

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer}}}}}}$

Let M be a point not on the circle and let MC be a line intersecting the circle at C.

Let MA be a secant to the circle, intersecting the circle at B and A.

Let |MC|2 = |MA||MB|.

Prove that MC is tangent to the circle at C.

How do I do this? I know that if angle MCB is congruent to angle CAB then that shows that MC is tangent to the circle by another theorem, but I don't know how to show that congruence.❤️

Answer 2

heya mate!!

Let M be a point not on the circle and let MC be a line intersecting the circle at C.

Let MA be a secant to the circle, intersecting the circle at B and A.

Let |MC|2 = |MA||MB|.

Prove that MC is tangent to the circle at C.

How do I do this? I know that if angle MCB is congruent to angle CAB then that shows that MC is tangent to the circle by another theorem, but I don't know how to show that congruence.❤️

hope it helps u dear✌️✌️