Question

Here is the question please help

Answer 1

IJ = 13

Explanation:

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Given:

• Secants: IJK and MLK
• Point of intersection: K

So JK · IJK = LK · MLK

If MK = 15 and ML = 9, then LK = 15 - 9 = 6

Given JK = 5

⇒ JK · IJK = LK · MLK

⇒ 5 · IJK = 6 · 15

⇒ 5 · IJK = 90

⇒ IJK = 90 ÷ 5 = 18

IJ = IJK - JK

⇒ IJ = 18 - 5 = 13