Question

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

Explanation:

Step1: Cross - multiply the proportion

Given \(\frac{5}{3}=\frac{4}{EC}\), cross - multiplying gives \(5\times EC = 3\times4\).

Step2: Solve for \(EC\)

From \(5EC=12\), we can find \(EC\) by dividing both sides of the equation by \(5\). So \(EC=\frac{12}{5}=2.4\).

Answer:

2.4 units