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krek1111 [17]
1 year ago
14

If the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center a

re the foci located?
Mathematics
1 answer:
Andreas93 [3]1 year ago
5 0

The distance from the center to where the foci is located is 8 units

<h3>How to determine the distance</h3>

The formula associated with the focus of an ellipse is given as;

c² = a² − b²

where;

  • c is the distance from the focus to center
  • a is the distance from the center to a vertex , major axis is 10 units
  • b is the distance from the center to a co-vertex, minor axis is 6 units

Let's use the Pythagorean theorem

Hypotenuse square = opposite square + adjacent square

Substitute the values into the formula

c² = 10² - 6²

Find the square

c² = 100 - 36

c² = 64

Find the square root

c = √64

c = 8

Thus, the distance from the center to where the foci is located is 8 units

Learn more about Pythagorean theorem here:

brainly.com/question/654982

#SPJ1

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