The video on the previous page demonstrated how to use a theorem to find missing lengths involving intersecting tangents and secants. See if you can apply this procedure on your own and solve the problems below.
Problem 1
Problem 2
Problem 3
In your notebook, solve for x in the diagram above. Then, click the Answer button to check your work.
12(12) = 9(9 + x)
144 = 81 + 9x
63 = 9x
7 = x
x = 7
In your notebook, solve for x in the diagram above. Then, click the Answer button to check your work.
10(10 + x) = 9(9 + 11)
100 + 10x = 9(20)
100 + 10x = 180
10x = 80
x = 8
In your notebook, solve for x in the diagram above. Then, click the Answer button to check your work.
5(5 + x) = 8²
25 + 5x = 64
5x = 39
x = 7.8
