Hello, saha.subham!

Code:A * /|\ / | \ /5 | 6\ P *---+---* Q / \3 | 4/ \ / \ | / \ /1 \|/ 2\ B *-------*-------* C R

are midpoints of , respectively.

Prove that:

1)

2) and bisect each other at right angles.

1) We are given: .

. . So: . is isosceles: .

Then: .

Also: .

Since is isosceles: . .[1]

Note: .

. And: .

Then: . is isosceles: . .[2]

Add [1] and [2]: .

Therefore: .

2) We have: .

is equidistant from the endpoints of segment

is equidistant from the endpoints of segment

Therefore, is the perpendicular bisector of