Question

The perpendicular from K To side MN at R such that 3MR=RN prove that :2KN SQUARE = 2KM SQUARE +MN SQUARE​

Answer 1

a square is a rectangle with four equal sides. al-though relatively simple and straightforward to deal with, squares have several interesting and no-table properties.

Answer 2

Answer:

Step-by-step explanation:

MN= MR + RN

= MR + 3MR. (Using given)

=4MR

Thus, MR =1/4 MN and RN =3/4 MR....(I)

In right triangle KRN, by Pythagoras theorem,

KN^2 = KR^2 + RN^2

=(KM^2 - MR^2) + RN^2 (using right triangle KRM)

=KM^2 - 1/16 MN^2 + 9/16^2 (using st. (I))

=KM^2 + 8/16 MN^2 Therefore,

KN^2 = KM^2 +1/2 MN^2

Multiplying by 2,

2KN^2 = 2KM^2 + MN^2