Question

triangle similarity theorems
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}\\)
3 units
2 units
2.4 units
3.75 units

Explanation:

Step1: Cross - multiply the proportion

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

Step2: Solve for EC

We have the equation \(5EC=12\). To find \(EC\), we divide both sides of the equation by 5: \(EC=\frac{12}{5}=2.4\).

Answer:

2.4 units