Question

chords ab and cd intersect at point e, ae = 10, eb = 4, and ce = 8. therefore, ed =
○ 7
○ 6
○ 4
○ 5

Explanation:

Step1: Apply intersecting chords theorem

For intersecting chords $AB$ and $CD$, $AE \times EB = CE \times ED$

Step2: Substitute given values

$10 \times 4 = 8 \times ED$

Step3: Solve for ED

$ED = \frac{10 \times 4}{8} = \frac{40}{8}$

Answer:

D. 5