How can I use Pythagorean theorem to find g & h ?
1 answer:
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Answer:
5.4
Step-by-step explanation:
To find the distance between each pair of points, we use the distance formula, which is:
d =
So we have
When we plug in the values into the formula we get:
d =
d =
<u>Question 1</u>
If we let , then
.
Also, as bisects
, this means
.
Thus, by the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning CE=8