Question

Hi i need help with this i just need the answer no steps ty

Answer 1

Given:

A circle with two intersecting chords and measure of line segments on chord.

Required:

Find the value of TN.

Step-by-step 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

`\begin{gathered} MH* HY=TH* HN \\ 12*20=8*(x+20) \\ 240=8x+160 \\ 8x=80 \\ x=10 \end{gathered}`

Now, Measure of TN

`\begin{gathered} TN=8+x+20 \\ =8+10+20 \\ =38 \end{gathered}`

Answer:

Option A is correct measure of TN.