To find: The distance between the foci of an ellipse.
The distance between the foci of the ellipse is
Given information: The lengths of the major and minor axes are
Formula used: The equation of the ellipse is,
Then major axis is
Distance between the foci is
Here,
Calculation:
Since, length of the major axis is
Hence,
Also, the length of the minor axis is
Then,
Now, the value of
This implies that
Then the distance between the foci is,
Therefore, the required distance between the foci of the ellipse is
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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