Question

In a triangle ABC shown below, side AB is 8 and side AC is 4​

Answer 1

Answer: c) AD = 4 and AE = 2

Explanation:

To prove that DE = (1/2) BC, we need to use a proportion that shows that AB = (1/2)AC and AE = (1/2)AD

We are given that AB = 8 and AC = 4 so we need AE = (1/2)AD

a) AD = 4, AE = 8

8 = (1/2)4

8 = 2 FALSE

b) AD = 2, AE = 4

4 = (1/2)2

4 = 1 FALSE

c) AD = 4, AE = 2

2 = (1/2)4

2 = 2 TRUE!

d) AD = 2, AE = 2

2 = (1/2)2

2 = 1 FALSE