Question

using the side - splitter theorem, daniel wrote a proportion for the segments formed by line segment de. what is ec?
\\(\frac{bd}{da}=\frac{be}{ec}\\)
\\(\frac{5}{3}=\frac{4}{ec}\\)
\\(\bigcirc\\) 2 units
\\(\bigcirc\\) 2.4 units
\\(\bigcirc\\) 3 units
\\(\bigcirc\\) 3.75 units

Explanation:

Step1: Cross-multiply the proportion

$5 \times EC = 3 \times 4$

Step2: Calculate right-hand side product

$5 \times EC = 12$

Step3: Solve for EC

$EC = \frac{12}{5}$

Answer:

2.4 units