AD, BE and CF are three concurrent lines in a triangle ABC meeting the opposite sides in D, E and F respectively. Show that the joins of the midpoints of BC, CA and AB to the midpoints of AD, BE and CF are concurrent.

AD, BE and CF are three concurrent lines in a triangle ABC meeting the

1.	AD, BE and CF are three concurrent lines in a triangle ABC meeting the opposite sides in D, E and F respectively. Show that the joins of the midpoints of BC, CA and AB to the midpoints of AD, BE and CF are concurrent.
Answer» AD, BE and CF are three concurrent lines in a triangle ABC meeting the opposite sides in D, E and F respectively. Show that the joins of the midpoints of BC, CA and AB to the midpoints of AD, BE and CF are concurrent.

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AD, BE and CF are three concurrent lines in a triangle ABC meeting the opposite sides in D, E and F respectively. Show that the joins of the midpoints of BC, CA and AB to the midpoints of AD, BE and CF are concurrent.

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