in the figure angle LMK=90° , seg mk is perpendicular seg LN. prove that R is midpoint of seg MK
Answers
Answered by
6
Consider △LMN
MR perpendicular to LN and LM perpendicular to LN
∴ By property of geometric mean, MR^2=LR.RN....(i)
Similarly in △LKN,
KR perpendicular to LN and LK perpendicular to KN
⇒KR^2=LR.RN....(ii)
∴ From (i) and (ii)
MR^2 = KR^2⇒MR=KR
∴R is the midpoint of segment MK
Attachments:
Similar questions