Answered

IDNLearn.com provides a seamless experience for finding and sharing answers. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

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 are the foci located?

Sagot :

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

How to determine the distance

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:

https://brainly.com/question/654982

#SPJ1

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.