What is the value of n?Enter your answer in the box.n = cm

Accepted Solution

You can solve this problem by applying the "Intersecting chords theorem". You must follow the proccedure below:

 1. Let's represent each lenght, as below:

 (P will be the point of intersection)

 AP=4 cm
 CP=6 cm
 DP=3 cm

 2. Therefore, you have:


 3. Now, you must clear "n", as below:


 4. When you substitute each value into n=APxCP/DP, you obtain:

 n=(4 cm)(6 cm)/3 cm
 n=24 cm²/3 cm

 5. Finally, the result is:

 n=8 cm