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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¯¯¯¯¯?

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In The Diagram Diameter AC Intersects Chord BD At Point E Such That AE 25 Units And BE 34 Units Point O Is The Center Of The Circle And The Radius Of The Circle class=

Sagot :

taskmasters
By using the intersecting chord theorem, we can solve for the length of the line segment DE. The theorem states that for an intersecting chord AB and CD the lengths A×B is always equal to C×D no matter where the chords are. Calculation is as follows:

AE x CE = DE x BE
2.5 x 7.5 = DE x 3.4
DE = 5.5 units

Answer:

DE = 5.5 units

Step-by-step explanation:

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