The problem seems to be missing the figure, but based on the given information, we can solve it using the properties of the circle and tangents.

1. Since PA and PB are tangents to the circle from an external point P, they are equal in length. So, PB = PA = 5 cm.

2. Also, the radius drawn to the point of tangency is perpendicular to the tangent. So, ∠OAP = ∠OBP = 90° (where O is the center of the circle).

3. Now, in triangle APB, ∠APB = 60° and ∠PAB = ∠PBA = 90° - ∠OAP = 90° - 90° = 0°.

4. Therefore, triangle APB is an equilateral triangle (since all its angles are equal).

5. In an equilateral triangle, all sides are equal. So, AB = PA = PB = 5 cm.

So, the length of chord AB is 5 cm.

Question

The problem seems to be missing the figure, but based on the given information, we can solve it using the properties of the circle and tangents.

1. Since PA and PB are tangents to the circle from an external point P, they are equal in length. So, PB = PA = 5 cm.

2. Also, the radius drawn to the point of tangency is perpendicular to the tangent. So, ∠OAP = ∠OBP = 90° (where O is the center of the circle).

3. Now, in triangle APB, ∠APB = 60° and ∠PAB = ∠PBA = 90° - ∠OAP = 90° - 90° = 0°.

4. Therefore, triangle APB is an equilateral triangle (since all its angles are equal).

5. In an equilateral triangle, all sides are equal. So, AB = PA = PB = 5 cm.

So, the length of chord AB is 5 cm.

Knowee AI · Accepted Answer

The problem seems to be missing the figure, but based on the given information, we can solve it using the properties of the circle and tangents.

1. Since PA and PB are tangents to the circle from an external point P, they are equal in length. So, PB = PA = 5 cm.

2. Also, the radius drawn to the point of tangency is perpendicular to the tangent. So, ∠OAP = ∠OBP = 90° (where O is the center of the circle).

3. Now, in triangle APB, ∠APB = 60° and ∠PAB = ∠PBA = 90° - ∠OAP = 90° - 90° = 0°.

4. Therefore, triangle APB is an equilateral triangle (since all its angles are equal).

5. In an equilateral triangle, all sides are equal. So, AB = PA = PB = 5 cm.

So, the length of chord AB is 5 cm.

In the given figure, PA and PB are tangents to the given circle, such that PA = 5cm and ∠APB = 60°. The length of chord AB is:A B 5cm C D 7.5cm