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
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