Math, asked by nbsuma987gmailcom, 8 months ago

The
lengths of
tangents drawn from
an
external point to a
cincle are
equal​

Answers

Answered by nneharoy91
1

Answer:

sorry I don't know the answer

Answered by avneetkaur9664
1

Answer:

yes,

ANSWER

Given: A circle with centre O; PA and PB are two tangents to the circle drawn from an external point P.

To prove: PA = PB

Construction: Join OA, OB, and OP.

It is known that a tangent at any point of a circle is perpendicular to the radius through the point of contact.

OA⊥PA

OB⊥PB

In △OPA and △OPB

∠OPA=∠OPB (Using (1))

OA=OB (Radii of the same circle)

OP=OP (Common side)

Therefor △OPA≅△OPB (RHS congruency criterion)

PA=PB

(Corresponding parts of congruent triangles are equal)

Thus, it is proved that the lengths of the two tangents drawn from an external point to a circle are equal.

The length of tangents drawn from any external point are equal.

So statement is correct..

Hope it helps you ❤❤

Thank my answer dear

Similar questions