Question

Hi, I was absent while my class learned this and I am unsure of how to solve for either. Any help/ explanation would be appreciated. Thanks!

Answer 1

Given: The figure shown

To Determine: The value of EF

Solution

Using intersecting chord theorem 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.

Applying the theorem to the given would give us

`CD* DP=EF* FP`

Therefore

`\begin{gathered} 11cm*9cm=EF*10cm \\ 99cm^2=EF*10cm \\ EF=(99cm^2)/(10cm) \\ EF=9.9cm \end{gathered}`

2. Let us label the the image given