Question

activity 4: a little bit farther now here’s a triangle abc. am = 6, mb = 3, an = 4.8, and nc = 2.4. 1. show that sides ab and ac are divided proportionally. that is, that \\(\frac{am}{mb} = \frac{an}{nc}\\).

Explanation:

Step1: Calculate AM/MB

Given \( AM = 6 \), \( MB = 3 \), so \( \frac{AM}{MB} = \frac{6}{3} = 2 \).

Step2: Calculate AN/NC

Given \( AN = 4.8 \), \( NC = 2.4 \), so \( \frac{AN}{NC} = \frac{4.8}{2.4} = 2 \).

Step3: Compare the two ratios

Both ratios equal 2, so \( \frac{AM}{MB} = \frac{AN}{NC} \).

Answer:

\(\frac{AM}{MB} = \frac{AN}{NC} = 2\), so sides AB and AC are divided proportionally.