Given:
A circle with two intersecting chords and measure of line segments on chord.
Required:
Find the value of TN.
Explanation:
We will use:
The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.
So, the calculation
[tex]\begin{gathered} MH\times HY=TH\times HN \\ 12\times20=8\times(x+20) \\ 240=8x+160 \\ 8x=80 \\ x=10 \end{gathered}[/tex]
Now, Measure of TN
[tex]\begin{gathered} TN=8+x+20 \\ =8+10+20 \\ =38 \end{gathered}[/tex]
Answer:
Option A is correct measure of TN.
