Question

In the diagram, diameter AC intersects chord BD at point E such that AE = 2.5 units and BE = 3.4 units. Point O is the center of the circle, and the radius of the circle is 5 units. What is the approximate length of DE?

Answer 1

5.5 units

4.5 units

6.0 units

5.0 units

Answer 2

Since OC is a radius and is 5, AO is also a radius and is also 5.
Since AE is 2.5, then OE is also 2.5.

Answer 3

right

Answer 4

3.4x = 2.5 * 7.5
Solve for x

Answer 5

x = DE = (2.5 * 7.5)/3.4 = approx 5.5 units

Answer 6

thank you

Answer 7

np need any more help