M and N are the mid point of the sides QR and QP respectively of a triangle PQR, right- angled at Q . prove that :
1)PM^2 + RN^2 = 5MN^2
2)4PM? = 4PQ? + QR?
3)4RN? = PQ? + 4 QR?
4)4 (PM? + RN ?)=5 PR?

Question

M and N are the mid point of the sides QR and QP respectively of a
triangle PQR, right- angled at Q prove that :
1)PM^2 + RN^2 = 5MN^2
2)4PM? = 4PQ? + QR?
3)4RN? = PQ? + 4 QR?
4)4 (PM? + RN ?)=5 PR?

Pabita Mahato · Accepted Answer

M and N are the mid point of the sides QR and QP respectively of a triangle PQR, right- angled at Q . prove that : 1)PM^2 + RN^2 = 5MN^2 2)4PM? = 4PQ? + QR? 3)4RN? = PQ? + 4 QR? 4)4 (PM? + RN ?)=5 PR?

M and N are the mid point of the sides QR and QP respectively of a triangle PQR, right- angled at Q . prove that :
1)PM^2 + RN^2 = 5MN^2
2)4PM? = 4PQ? + QR?
3)4RN? = PQ? + 4 QR?
4)4 (PM? + RN ?)=5 PR?