Question

Can you please help me out with a question

Answer 1

Step 1 :

We use the Intersecting Chord Theorem which states that :

When two chords intersect each other inside a circle, the products of their segments are equal.

This theorem states that A×B is always equal to C×D

(no matter where the chords are).

From the question, A = 15, B = 12, C = ? , D = 18

Step 2 :

Using the equation, where AB = CD

`\begin{gathered} 15\text{ x 12 = C x 18} \\ 180\text{ = 18 C} \\ \text{Divide both sides by 18, we have that:} \\ C\text{ = 10 units.} \end{gathered}`

CONCLUSION :

The value of C = 10 units