Question

Q.16. In the
In the given figure PA and PB are tangents to the circle with PA = 14 cm. If CD is
another tangent touching the circle at point E, then the perimeter of APCD is –
​

Answer 1

Hi mate here is the answer:-✍️✍️

Question:

From an external point P, tangents PA and PB are drawn to a circle with center O. If CD is the tangent to the circle at a point E and PA = 14 cm, find the perimeter of △PCD.

Answer:

To find,

perimeter of ∆PCD.

We know that, Tangent drawn from an external point to a circle is equal.

So,we have......

AC=CE............(1){tangent from point C}

ED=DB...........(2){tangent from point D}

Now perimeter of ∆PCD

=PC + CD + DP

=PC+CE+ED+DP

=PC+AC+DB+DP[from (1)&(2)]

=PA+ PB

Now,

Now,PA = PB = 14 cm as tangents drawn from an external point to a circle are equal

So we have,

Perimeter = PA + PB = 14 + 14 = 28 cm

Hope it helps you ❣️☑️☑️