Core Connections Integrated II, 2015
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Core Connections Integrated II, 2015 View details
Chapter Closure

Exercise 94 Page 636

For a given point and a circle, the product of the lengths of the two segments from the point to the circle is constant along any line through the point and circle.

x≈ 3.33

For a given point and a circle, the product of the lengths of the two segments from the point to the circle is constant along any line through the point and circle.

In our diagram, the point which will follow this rule is the point of intersection of the shown chord segments. Therefore, the products of the lengths of the chord segments are equal. x * 10=4 * (x+5) Let's solve this equation for x.
x * 10 = 4 * (x+5)
Solve for x
10x = 4(x+5)
10x = 4x + 20
6x = 20
x=3.33333333...
x≈ 3.33