What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circle. The top left side of the x shape is labeled 7 centimeters. The top right side of the x shape is labeled 4 centimeters. The bottom left side of the x is labeled n. The bottom right side of the x is labeled 8 centimeters.

Answer: The length of the bottom left side is 14.

To find the length of this side, we need to know the relationship between the different sections when chords cross each other.

The relationship is that if you multiply the 2 parts of each chord together, it will equal the product of the two sides in the other chord.

Our equation can be written as:

7(8) = 4(x)
56 = 4x
14 = x

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AFOKE88 AFOKE88 · Answer 2 · 2022-03-17T13:52:57+01:00

The value of n for the given circle with chords is; n = 14

How to find the length of a chord?

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

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