Question

15. In triangle ABC, AD is the median and DE,
drawn parallel to side BA, meets AC at point
E. Show that BE is also a median.​

Answer 1

Step-by-step explanation:

By mid point therom it can be explained.

1. By mid

Answer 2

Qᴜᴇsᴛɪᴏɴ -

In triangle ABC, AD is the median and DE,

drawn parallel to side BA, meets AC at point

E. Show that BE is also a median.

Cᴏɴsᴛʀᴜᴄᴛɪᴏɴ -

Join B and E.

Tᴏ ᴘʀᴏᴠᴇ -

BE is a median.

Pʀᴏᴏғ -

In ∆ ABC,

AB || DE

∴ DE = 1/2 AB. (mid-point theorem)

∴ E bisects AC.

∴ AE = EC (converse theorem)

∴ BE is also a median...

__________________proved_____

@MissSolitary ✌️