Question

BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯. What is CE? Enter your answer in the box.

Answer 1

Answer:

10

Step-by-step explanation:

i just took the test and got it right.

Answer 2

Answer:

Hence, CE=10

Step-by-step explanation:

" Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally "

i.e.

Here we have:

BC||DE. (i.e. BC is parallel to DE).

Hence we have:

$\dfrac{AB}{BD}=\dfrac{AC}{CE}$

Here we have:

$AB=15, BD=6, AC=25$

Hence,

$\dfrac{15}{6}=\dfrac{25}{CE}\\\\CE=25\times \dfrac{6}{15}\\\\CE=10$

Hence, the length of CE is 10 units.