Question

How do I find the following answer to parts A ?

Answer 1

Given that DE is the midsegment of ΔABC, then:

`(1)/(2)BC\text{ = }DE`

BD = DA

AE = EC

Option A is true because:

AC = AE + EC

AC - AE = EC

Option B is true because:

AD + DB = AB

AD + AD = AB (BD = DA)

2AD = AB

AD = 1/2AB

Option C is true because:

1/2BC = DE

BC = 2DE

Given that ΔABC is scalene, then AB ≠ AC ≠ BC, in consequence, AD ≠ AE. Then option D is the correct option