Question

Someone help me fast please. Given the diagram below and DE∣∣∣∣KL, find FE and FL.

Answer 1

Answer:

Part 1) The length of segment FE is 10 units

Part 2) The length of segment FL is 4.8 units

Step-by-step explanation:

we know that

Triangle FED and triangle FKL are similar by AA Similarity Postulate

Part 1) Find FE

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{DE}{KL}=\frac{FE}{FK}$

substitute the given values

$\frac{15}{6}=\frac{FE}{4}$

$FE=15(4)/6\\FE=10\ units$

Part 2) Find FL

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{DE}{KL}=\frac{FD}{FL}$

substitute the given values

$\frac{15}{6}=\frac{12}{FL}$

$FL=6(12)/15\\FL=4.8\ units$