Given that D is the midpoint of AB and B is the midpoint of AC which statement must be true a) AD= 1/3AC

Mathematics

1 answer:

garik1379 [7]3 years ago

3 0

Answer:

AD = 1/4AC

Step-by-step explanation:

Given that,

D is the the midpoint of AB

Therefore

AB = AD + DB

Since, D is the midpoint of the AB, therefore AD = DB

AB = AD + AD

AB = 2AD (i)

Similarly, B is the midpoint of AC

Hence,

AC = AB + BC

AC = AB + AB (because B is the midpoint)

AC = 2AB (ii)

By putting the value of AB from equation i to equation ii, we get

AC = 2(2AD)

AC = 4AD

AC/4 = AD

AD = 1/4AC

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