Question

1. line segment bc was drawn to create similar triangles abc and ade. what is the length of ae? write your answer as a mixed fraction.

Explanation:

Step1: Determine AD length

AD = AB + BD = 3 + 2 = 5

Step2: Set up proportion for similar triangles

AB/AD = AC/AE ⇒ 3/5 = 4/AE

Step3: Solve for AE

AE = (4×5)/3 = 20/3 = 6 2/3

Answer:

6 2/3